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Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
| Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui |
| Autore | Kato Kazuya (Kazuya) |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 |
| Descrizione fisica | 1 online resource (349 p.) |
| Disciplina | 514/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hodge theory
Logarithms |
| Soggetto non controllato |
Algebraic group
Algebraic variety Analytic manifold Analytic space Annulus (mathematics) Arithmetic group Atlas (topology) Canonical map Classifying space Coefficient Cohomology Compactification (mathematics) Complex manifold Complex number Congruence subgroup Conjecture Connected component (graph theory) Continuous function Convex cone Degeneracy (mathematics) Diagram (category theory) Differential form Direct image functor Divisor Elliptic curve Equivalence class Existential quantification Finite set Functor Geometry Hodge structure Hodge theory Homeomorphism Homomorphism Inverse function Iwasawa decomposition Local homeomorphism Local ring Local system Logarithmic Maximal compact subgroup Modular curve Modular form Moduli space Monodromy Monoid Morphism Natural number Nilpotent orbit Nilpotent Open problem Open set P-adic Hodge theory P-adic number Point at infinity Proper morphism Pullback (category theory) Quotient space (topology) Rational number Relative interior Ring (mathematics) Ring homomorphism Scientific notation Set (mathematics) Sheaf (mathematics) Smooth morphism Special case Strong topology Subgroup Subobject Subset Surjective function Tangent bundle Taylor series Theorem Topological space Topology Transversality (mathematics) Two-dimensional space Vector bundle Vector space Weak topology |
| ISBN |
1-4008-3711-1
0-691-13822-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 0. Overview -- Chapter 1. Spaces of Nilpotent Orbits and Spaces of Nilpotent i-Orbits -- Chapter 2. Logarithmic Hodge Structures -- Chapter 3. Strong Topology and Logarithmic Manifolds -- Chapter 4. Main Results -- Chapter 5. Fundamental Diagram -- Chapter 6. The Map ψ:D#val → DSL(2) -- Chapter 7. Proof of Theorem A -- Chapter 8. Proof of Theorem B -- Chapter 9. b-Spaces -- Chapter 10. Local Structures of DSL(2) and ΓDbSL(2),≤1 -- Chapter 11. Moduli of PLH with Coefficients -- Chapter 12. Examples and Problems -- Appendix -- References -- List of Symbols -- Index |
| Record Nr. | UNINA-9910791746503321 |
Kato Kazuya (Kazuya)
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| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
| Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui |
| Autore | Kato Kazuya (Kazuya) |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 |
| Descrizione fisica | 1 online resource (349 p.) |
| Disciplina | 514/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hodge theory
Logarithms |
| Soggetto non controllato |
Algebraic group
Algebraic variety Analytic manifold Analytic space Annulus (mathematics) Arithmetic group Atlas (topology) Canonical map Classifying space Coefficient Cohomology Compactification (mathematics) Complex manifold Complex number Congruence subgroup Conjecture Connected component (graph theory) Continuous function Convex cone Degeneracy (mathematics) Diagram (category theory) Differential form Direct image functor Divisor Elliptic curve Equivalence class Existential quantification Finite set Functor Geometry Hodge structure Hodge theory Homeomorphism Homomorphism Inverse function Iwasawa decomposition Local homeomorphism Local ring Local system Logarithmic Maximal compact subgroup Modular curve Modular form Moduli space Monodromy Monoid Morphism Natural number Nilpotent orbit Nilpotent Open problem Open set P-adic Hodge theory P-adic number Point at infinity Proper morphism Pullback (category theory) Quotient space (topology) Rational number Relative interior Ring (mathematics) Ring homomorphism Scientific notation Set (mathematics) Sheaf (mathematics) Smooth morphism Special case Strong topology Subgroup Subobject Subset Surjective function Tangent bundle Taylor series Theorem Topological space Topology Transversality (mathematics) Two-dimensional space Vector bundle Vector space Weak topology |
| ISBN |
1-4008-3711-1
0-691-13822-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 0. Overview -- Chapter 1. Spaces of Nilpotent Orbits and Spaces of Nilpotent i-Orbits -- Chapter 2. Logarithmic Hodge Structures -- Chapter 3. Strong Topology and Logarithmic Manifolds -- Chapter 4. Main Results -- Chapter 5. Fundamental Diagram -- Chapter 6. The Map ψ:D#val → DSL(2) -- Chapter 7. Proof of Theorem A -- Chapter 8. Proof of Theorem B -- Chapter 9. b-Spaces -- Chapter 10. Local Structures of DSL(2) and ΓDbSL(2),≤1 -- Chapter 11. Moduli of PLH with Coefficients -- Chapter 12. Examples and Problems -- Appendix -- References -- List of Symbols -- Index |
| Record Nr. | UNINA-9910809577303321 |
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Kato Kazuya (Kazuya)
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| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III / / Solomon Lefschetz
| Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III / / Solomon Lefschetz |
| Autore | Lefschetz Solomon |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (300 pages) : illustrations |
| Disciplina | 531.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Oscillations |
| Soggetto non controllato |
Addition
Almost periodic function Analytic function Analytic manifold Asymptote Asymptotic analysis Banach space Basis (linear algebra) Betti number Big O notation Boundary (topology) Boundary value problem Boundedness Calculation Cartesian coordinate system Characteristic equation Characteristic exponent Coefficient matrix Coefficient Combination Complex number Complex space Connected space Continuous function Counterexample Curve Degeneracy (mathematics) Degrees of freedom (statistics) Derivative Determinant Differentiable function Differential equation Dissipative system Eigenvalues and eigenvectors Equation Existence theorem Existential quantification Exterior (topology) First variation Fixed-point theorem Fundamental theorem Geometry Half-space (geometry) Homeomorphism Homotopy Hyperbolic sector Identity matrix Imaginary number Implicit function Infimum and supremum Integral curve Interior (topology) Intersection (set theory) Interval (mathematics) Invertible matrix Jacobian matrix and determinant Jordan curve theorem Limit cycle Limit point Limit set Line at infinity Linear approximation Linear differential equation Linear equation Linear map Lipschitz continuity Matrix (mathematics) Monotonic function N-vector Nonlinear system Ordinary differential equation Parameter Parametric equation Parametrization Partial derivative Periodic function Phase plane Phase space Point at infinity Polynomial Projective plane Quantity Saddle point Scientific notation Second derivative Separatrix (mathematics) Sign (mathematics) Simultaneous equations Singular perturbation Special case Submanifold Summation Tangent Taylor series Theorem Theory Topology Vector field Velocity Zero of a function |
| ISBN | 1-4008-8217-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- I. A ROTATED VECTOR APPROACH TO THE PROBLEM OP STABILITY OP SOLUTIONS OF PENDULUM-TYPE EQUATIONS / Seifert, George -- II. ASYMPTOTICALLY AUTONOMOUS DIFFERENTIAL SYSTEMS / Markus, L. -- III. NONLINEAR DIFFERENTIAL EQUATIONS SYSTEMS / Pinney, Edmund -- IV. ON A NON-LINEAR DIFFERENTIAL EQUATION CONTAINING A SMALL PARAMETER / Haas, Violet B. -- V. CRITICAL POINTS AT INFINITY AND FORCED OSCILLATION / Gomory, Ralph E. -- VI. ON CERTAIN CRITICAL POINTS OF A DIFFERENTIAL SYSTEM IN THE PLANE / Barocio, Samuel -- VII. ON THE TOTAL NUMBER OF SINGULAR POINTS AND LIMIT CYCLES OF A DIFFERENTIAL EQUATION / Haas, Felix -- VIII. BANACH SPACES AND THE PERTURBATION OF ORDINARY DIFFERENTIAL EQUATIONS / Hufford, George -- IX. A FIXED POINT THEOREM / Kyner, Walter T. -- X. PERTURBATION THEOREMS FOR NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS / Diliberto, S. P. / Hufford, G. -- XI. A NOTE ON THE EXISTENCE OF PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS / Diliberto, S. P. / Marcus, M. D. -- XII. AN INVARIANT SURFACE THEOREM FOR A NON-DEGENERATE SYSTEM / Marcus, Marvin D. -- XIII. AN APPLICATION OP PERIODIC SURFACES (SOLUTION OF A SMALL DIVISOR PROBLEM) / Diliberto, Stephen P. -- XIV. REPEATING SOLUTIONS FOR A DEGENERATE SYSTEM / Marcus, Marvin D. -- XV. BOUNDS FOR PERIODS OF PERIODIC SOLUTIONS / Diliberto, Stephen P. -- XVI. ONE-DIMENSIONAL REPEATING CURVES IN THE NON-DEGENERATE CASE / Koosis, Paul -- Backmatter |
| Record Nr. | UNINA-9910154750203321 |
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Lefschetz Solomon
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Elementary Differential Topology. (AM-54), Volume 54 / / James R. Munkres
| Elementary Differential Topology. (AM-54), Volume 54 / / James R. Munkres |
| Autore | Munkres James R. |
| Edizione | [Revised edition.] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (132 pages) : illustrations |
| Disciplina | 513.83 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Differential topology |
| Soggetto non controllato |
Addition
Affine transformation Algebraic topology Analytic manifold Approximation Barycentric coordinate system Barycentric subdivision Basis (linear algebra) Brouwer fixed-point theorem CR manifold Centroid Chain rule Closed set Combinatorics Compact space Conjecture Continuous function Convex set Coordinate system Corollary Degeneracy (mathematics) Diameter Diffeomorphism Differentiable function Differentiable manifold Differential topology Dimension (vector space) Dimension theory (algebra) Dimension theory Disjoint sets Elementary proof Empty set Equation Euclidean space Existential quantification Function composition Fundamental theorem General topology Geometry Grassmannian Homeomorphism Homotopy Hyperplane Identity matrix Inclusion map Integer Intersection (set theory) Invariance of domain Jacobian matrix and determinant Line segment Linear algebra Linear equation Linear map Locally compact space Manifold Mathematical induction Matrix multiplication Metrization theorem Natural number Number theory Open set Partial derivative Partition of unity Polyhedron Polytope Regular homotopy Remainder Scientific notation Secant Similarity (geometry) Simplex Simplicial complex Smoothness Special case Submanifold Subset Tangent bundle Tangent vector Theorem Thickness (graph theory) Topological manifold Topology Trigonometric functions Unit cube Word problem (mathematics) |
| ISBN | 1-4008-8265-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter I. Differentiable Manifolds -- Chapter II. Triangulations of Differentiable Manifolds -- References -- Index of terms -- Backmatter |
| Record Nr. | UNINA-9910154744903321 |
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Munkres James R.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves
| Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves |
| Autore | Cordaro Paulo |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (398 pages) |
| Disciplina | 515/.782 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hyperfunctions
Submanifolds |
| Soggetto non controllato |
Alexander Grothendieck
Analytic function Analytic manifold Borel transform Boundary value problem Bounded function Bounded set (topological vector space) Bounded set C0 CR manifold Cauchy problem Codimension Coefficient Cohomology Compact space Complex manifold Complex number Complex space Connected space Continuous function (set theory) Continuous function Convex set Convolution Cotangent bundle Counterexample De Rham cohomology Dense set Differential operator Disjoint union Domain of a function Eigenvalues and eigenvectors Embedding Entire function Equation Equivalence class Equivalence relation Euclidean space Existential quantification Exterior algebra Exterior derivative Fiber bundle Fourier transform Function space Functional analysis Fundamental solution Harmonic function Holomorphic function Homomorphism Hyperfunction Hypersurface Infimum and supremum Integration by parts Laplace's equation Limit of a sequence Linear map Linear space (geometry) Linear subspace Locally convex topological vector space Mathematical induction Montel space Montel's theorem Morphism Neighbourhood (mathematics) Norm (mathematics) Open set Partial derivative Partial differential equation Polytope Presheaf (category theory) Pullback (category theory) Pullback Quotient space (topology) Radon measure Real structure Riemann sphere Serre duality Several complex variables Sheaf (mathematics) Sheaf cohomology Singular integral Sobolev space Special case Submanifold Subsequence Subset Summation Tangent bundle Theorem Topology of uniform convergence Topology Transitive relation Transpose Transversal (geometry) Uniform convergence Uniqueness theorem Vanish at infinity Variable (mathematics) Vector bundle Vector field Wave front set |
| ISBN | 1-4008-8256-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- 0.1 BACKGROUND ON SHEAVES OF VECTOR SPACES OVER A MANIFOLD -- 0.2 BACKGROUND ON SHEAF COHOMOLOGY -- CHAPTER I. HYPERFUNCTION S IN A MAXIMAL HYPO-ANALYTIC STRUCTURE -- CHAPTER II. MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY REAL SUBMANIFOLD OF COMPLEX SPACE -- CHAPTER III. HYPERFUNCTION SOLUTIONS IN A HYPO-ANALYTIC MANIFOLD -- CHAPTER IV. TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS -- HISTORICAL NOTES -- BIBLIOGRAPHICAL REFERENCES -- INDEX OF TERMS |
| Record Nr. | UNINA-9910154744403321 |
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Cordaro Paulo
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Seminar on Micro-Local Analysis. (AM-93), Volume 93 / / Victor Guillemin, Masaki Kashiwara, Takahiro Kawai
| Seminar on Micro-Local Analysis. (AM-93), Volume 93 / / Victor Guillemin, Masaki Kashiwara, Takahiro Kawai |
| Autore | Guillemin Victor |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (148 pages) |
| Disciplina | 515 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Mathematical analysis |
| Soggetto non controllato |
Addition
Analytic function Analytic manifold Asymptotic analysis Bernhard Riemann Boundary value problem Bounded operator Cartan subgroup Characterization (mathematics) Class function (algebra) Closed-form expression Codimension Cohomology Compact space Comparison theorem Contact geometry Continuous function Continuous linear operator Convex hull Cotangent bundle D-module Degenerate bilinear form Diagonal matrix Differentiable manifold Differential operator Dimension (vector space) Dimension Elliptic partial differential equation Equation Existence theorem Fourier integral operator Generic point Group theory Harmonic analysis Holomorphic function Holonomic Homogeneous space Hyperfunction Hypersurface Identity element Irreducible representation Killing form Lagrangian (field theory) Lie algebra Lie group Linear differential equation Locally compact space Masaki Kashiwara Maximal ideal Monodromy Natural number Neighbourhood (mathematics) Ordinary differential equation Orthogonal complement Partial differential equation Path integral formulation Proper map Pseudo-differential operator Regularity theorem Sigurdur Helgason (mathematician) Submanifold Subset Summation Symmetric space Symplectic geometry Tangent cone Theorem Topological space Vector bundle Victor Guillemin Weyl group |
| ISBN | 1-4008-8157-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- PREFACE -- INTRODUCTION TO THE THEORY OF HYPERFUNCTIONS / Kashiwara, Masaki -- SOME APPLICATIONS OF BOUNDARY VALUE PROBLEMS FOR ELLIPTIC SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS / Kashiwara, Masaki / Kawai, Takahiro -- A SZEGO-TYPE THEOREM FOR SYMMETRIC SPACES / Guillemin, Victor -- SOME MICRO-LOCAL ASPECTS OF ANALYSIS ON COMPACT SYMMETRIC SPACES / Guillemin, Victor -- ON HOLONOMIC SYSTEMS WITH REGULAR SINGULARITIES / Kashiwara, Masaki / Kawai, Takahiro -- MICRO-LOCAL ANALYSIS OF FEYNMAN AMPLITUDES / Kashiwara, Masaki / Kawai, Takahiro -- Backmatter |
| Record Nr. | UNINA-9910154746003321 |
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Guillemin Victor
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 / / Lars Hörmander
| Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 / / Lars Hörmander |
| Autore | Hörmander Lars |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (296 pages) : illustrations |
| Disciplina | 515/.353 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Differential equations, Linear - Numerical solutions
Differential equations, Partial - Numerical solutions |
| Soggetto non controllato |
A priori estimate
Adjoint equation Analytic continuation Analytic function Analytic manifold Asymptote Asymptotic analysis Asymptotic distribution Asymptotic expansion Asymptotic formula Big O notation Calculus on manifolds Canonical transformation Characteristic equation Characteristic function (probability theory) Codimension Cohomology Commutator Complex manifold Complex number Continuous function (set theory) Continuous function Covariant derivative Diffeomorphism Differential equation Differential operator Dirichlet problem Eigenfunction Eigenvalues and eigenvectors Elementary proof Elliptic boundary value problem Equation Equivalence class Equivalence relation Error term Existence theorem Existential quantification Exponential function Fourier integral operator Fourier inversion theorem Fourier transform Functional calculus Fundamental solution Hamiltonian vector field Hardy space Harmonic analysis Hermann Weyl Hermitian adjoint Hilbert space Holomorphic function Homogeneous function Hyperbolic partial differential equation Hyperfunction Hypersurface Inclusion map Inequality (mathematics) Integer lattice Integral transform Irreducible representation Lagrangian (field theory) Laplace operator Limit (mathematics) Linear map Local diffeomorphism Manifold Mathematical optimization Maximal torus Monotonic function Ordinary differential equation Oscillatory integral Partial differential equation Partition of unity Poisson bracket Poisson summation formula Polynomial Projection (linear algebra) Projective variety Pseudo-differential operator Regularity theorem Renormalization Riemann surface Riemannian manifold Riesz representation theorem Self-adjoint operator Self-adjoint Sign (mathematics) Special case Spectral theorem Spectral theory Summation Support (mathematics) Symplectic geometry Symplectic manifold Taylor series Theorem Toeplitz operator Trace class Trigonometric polynomial Unit disk Variable (mathematics) |
| ISBN | 1-4008-8158-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface / Hörmander, Lars -- Spectral Analysis of Singularities / Hörmander, Lars -- Fourier Integral Operators with Complex Phase Functions / Sjöstrand, J. -- Hypoelliptic Operators with Double Characteristics / Menikoff, A. -- Differential Boundary Value Problems of Principal Type / Melrose, R. B. -- Propagation of Singularities for a Class of Operators with Double Characteristics / Hanges, Nicholas -- Subelliptic Operators / Hörmander, Lars -- Lacunas and Transmissions / Monvel, Louis Boutet de -- Some Classical Theorems in Spectral Theory Revisited / Guillemin, Victor -- Szegö's Theorem and a Complete Symbolic Calculus for Pseudo-Differential Operators / Widom, Harold -- Backmatter |
| Record Nr. | UNINA-9910154745903321 |
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Hörmander Lars
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Singular Points of Complex Hypersurfaces. (AM-61), Volume 61 / / John Milnor
| Singular Points of Complex Hypersurfaces. (AM-61), Volume 61 / / John Milnor |
| Autore | Milnor John |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (137 pages) : illustrations |
| Disciplina | 516.35 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Geometry, Algebraic |
| Soggetto non controllato |
3-sphere
Addition Alexander polynomial Algebraic curve Algebraic equation Algebraic geometry Analytic manifold Apply Approximation Binary icosahedral group Boundary (topology) Characteristic polynomial Codimension Coefficient Commutator subgroup Commutator Compact group Complex analysis Complex number Complex projective plane Conjecture Contradiction Coordinate space Coordinate system Derivative Differentiable manifold Dimension Directional derivative Euclidean space Euler number Exact sequence Existential quantification Exotic sphere Fiber bundle Fibration Field of fractions Finite group Finite set Finitely generated group Formal power series Free abelian group Free group Fundamental group Geometry Hermitian matrix Hessian matrix Homology (mathematics) Homology sphere Homotopy sphere Homotopy Hopf fibration Hypersurface Icosahedron Implicit function theorem Integer Integral domain Inverse function theorem Knot group Knot theory Line segment Linear combination Linear map Manifold Minor (linear algebra) Morse theory N-sphere Neighbourhood (mathematics) Normal (geometry) Normal subgroup Open set Orientability Parametrization Polynomial Prime ideal Principal ideal Projective space Real number Regular icosahedron Retract Riemannian manifold Second derivative Sign (mathematics) Simply connected space Smoothness Special case Submanifold Subset Surjective function Tangent space Theorem Topological manifold Topology Transcendence degree Tubular neighborhood Unit interval Unit sphere Unit vector Variable (mathematics) Vector field Vector space |
| ISBN | 1-4008-8181-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- §1. INTRODUCTION -- §2. ELEMENTARY FACTS ABOUT REAL OR COMPLEX ALGEBRAIC SETS -- §3. THE CURVE SELECTION LEMMA -- §4. THE FIBRATION THEOREM -- §5. THE TOPOLOGY OF THE FIBERAND OF K -- §6. THE CASE OF AN ISOLATED CRITICAL POINT -- §7. THE MIDDLE BETTI NUMBER OF THE FIBER -- §8. IS K A TOPOLOGICAL SPHERE ? -- §9. BRIESKORN VARIETIES AND WEIGHTED HOMOGENEOUS POLYNOMIALS -- § 10. THE CLASSICAL CASE: CURVES IN C2 -- §11. A FIBRATION THEOREM FOR REAL SINGULARITIES -- APPENDIX A. WHITNEY'S FINITENESS THEOREM FOR ALGEBRAIC SETS -- APPENDIX B. THE MULTIPLICITY OF AN ISOLATED SOLUTION OF ANALYTIC EQUATIONS -- BIBLIOGRAPHY |
| Record Nr. | UNINA-9910154743603321 |
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Milnor John
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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