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Lectures on resolution of singularities [[electronic resource] /] / János Kollár
Lectures on resolution of singularities [[electronic resource] /] / János Kollár
Autore Kollár János
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, 2007
Descrizione fisica 1 online resource (215 p.)
Disciplina 516.3/5
Collana Annals of mathematics studies
Soggetto topico Singularities (Mathematics)
Soggetto non controllato Adjunction formula
Algebraic closure
Algebraic geometry
Algebraic space
Algebraic surface
Algebraic variety
Approximation
Asymptotic analysis
Automorphism
Bernhard Riemann
Big O notation
Birational geometry
C0
Canonical singularity
Codimension
Cohomology
Commutative algebra
Complex analysis
Complex manifold
Computability
Continuous function
Coordinate system
Diagram (category theory)
Differential geometry of surfaces
Dimension
Divisor
Du Val singularity
Dual graph
Embedding
Equation
Equivalence relation
Euclidean algorithm
Factorization
Functor
General position
Generic point
Geometric genus
Geometry
Hyperplane
Hypersurface
Integral domain
Intersection (set theory)
Intersection number (graph theory)
Intersection theory
Irreducible component
Isolated singularity
Laurent series
Line bundle
Linear space (geometry)
Linear subspace
Mathematical induction
Mathematics
Maximal ideal
Morphism
Newton polygon
Noetherian ring
Noetherian
Open problem
Open set
P-adic number
Pairwise
Parametric equation
Partial derivative
Plane curve
Polynomial
Power series
Principal ideal
Principalization (algebra)
Projective space
Projective variety
Proper morphism
Puiseux series
Quasi-projective variety
Rational function
Regular local ring
Resolution of singularities
Riemann surface
Ring theory
Ruler
Scientific notation
Sheaf (mathematics)
Singularity theory
Smooth morphism
Smoothness
Special case
Subring
Summation
Surjective function
Tangent cone
Tangent space
Tangent
Taylor series
Theorem
Topology
Toric variety
Transversal (geometry)
Variable (mathematics)
Weierstrass preparation theorem
Weierstrass theorem
Zero set
ISBN 1-282-15774-4
9786612157745
1-4008-2780-9
Classificazione SK 240
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Chapter 1. Resolution for Curves -- Chapter 2. Resolution for Surfaces -- Chapter 3. Strong Resolution in Characteristic Zero -- Bibliography -- Index
Record Nr. UNINA-9910778222903321
Kollár János  
Princeton, N.J., : Princeton University Press, 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Meromorphic Functions and Analytic Curves. (AM-12) / / Hermann Weyl
Meromorphic Functions and Analytic Curves. (AM-12) / / Hermann Weyl
Autore Weyl Hermann
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (285 pages) : illustrations
Disciplina 517.5
Collana Annals of Mathematics Studies
Soggetto topico Functions
Soggetto non controllato Algebraic curve
Algebraic equation
Algebraic function
Algebraic surface
Analytic continuation
Analytic function
Arc (geometry)
Argument principle
Basis (linear algebra)
Bernhard Riemann
Betti number
Big O notation
Boundary value problem
C-function
C0
Characteristic function (probability theory)
Circumference
Coefficient
Combination
Compact Riemann surface
Compact space
Complex analysis
Complex number
Computation
Concentric
Conformal map
Continuous function
Coordinate system
Degeneracy (mathematics)
Derivative
Diameter
Differential form
Dimension
Disk (mathematics)
Dual curve
Entire function
Equation
Equidistant
Euler characteristic
Existential quantification
Exponential function
Exterior (topology)
Floor and ceiling functions
Fundamental theorem
Gauge factor
General position
Geometry
Harmonic function
Heine–Borel theorem
Hermann Weyl
Homogeneous coordinates
Improper integral
Integer
Interior (topology)
Inverse function
Limit superior and limit inferior
Line integral
Linear differential equation
Linear map
Local parameter
Logarithm
Logarithmic derivative
Mathematics
Maximum principle
Meromorphic function
Modular form
Modular group
Moduli (physics)
Monodromy theorem
Multiple integral
Natural number
Notation
Order by
Parallelepiped
Parameter
Polyad
Polynomial
Power series
Prime number
Probability
Projection (mathematics)
Quantity
Rational function
Real variable
Rectangle
Residue theorem
Riemann integral
Riemann surface
Rotational symmetry
Second derivative
Simply connected space
Subset
Summation
Theorem
Theory
Topological space
Total order
Unit circle
Unit vector
Variable (mathematics)
ISBN 1-4008-8228-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION. EARLY HISTORY AND BIBLIOGRAPHY -- CHAPTER I. GEOMETRIC AND FUNCTION-THEORETIC FOUNDATIONS -- CHAPTER II. FIRST MAIN THEOREM FOR MEROMORPHIC CURVES -- CHAPTER III. THE SECOND MAIN THEOREM FOR MEROMORPHIC CURVES -- CHAPTER IV. FIRST AND SECOND MAIN THEOREMS FOR ANALYTIC CURVES -- CHAPTER V. THE DEFECT RELATIONS -- Backmatter
Record Nr. UNINA-9910154746403321
Weyl Hermann  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
Autore Morgan John W. <1946->
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 1996
Descrizione fisica 1 online resource (138 p.)
Disciplina 514/.2
Collana Mathematical Notes
Soggetto topico Four-manifolds (Topology)
Seiberg-Witten invariants
Mathematical physics
Soggetto non controllato Affine space
Affine transformation
Algebra bundle
Algebraic surface
Almost complex manifold
Automorphism
Banach space
Clifford algebra
Cohomology
Cokernel
Complex dimension
Complex manifold
Complex plane
Complex projective space
Complex vector bundle
Complexification (Lie group)
Computation
Configuration space
Conjugate transpose
Covariant derivative
Curvature form
Curvature
Differentiable manifold
Differential topology
Dimension (vector space)
Dirac equation
Dirac operator
Division algebra
Donaldson theory
Duality (mathematics)
Eigenvalues and eigenvectors
Elliptic operator
Elliptic surface
Equation
Fiber bundle
Frenet–Serret formulas
Gauge fixing
Gauge theory
Gaussian curvature
Geometry
Group homomorphism
Hilbert space
Hodge index theorem
Homology (mathematics)
Homotopy
Identity (mathematics)
Implicit function theorem
Intersection form (4-manifold)
Inverse function theorem
Isomorphism class
K3 surface
Kähler manifold
Levi-Civita connection
Lie algebra
Line bundle
Linear map
Linear space (geometry)
Linearization
Manifold
Mathematical induction
Moduli space
Multiplication theorem
Neighbourhood (mathematics)
One-form
Open set
Orientability
Orthonormal basis
Parameter space
Parametric equation
Parity (mathematics)
Partial derivative
Principal bundle
Projection (linear algebra)
Pullback (category theory)
Quadratic form
Quaternion algebra
Quotient space (topology)
Riemann surface
Riemannian manifold
Sard's theorem
Sign (mathematics)
Sobolev space
Spin group
Spin representation
Spin structure
Spinor field
Subgroup
Submanifold
Surjective function
Symplectic geometry
Symplectic manifold
Tangent bundle
Tangent space
Tensor product
Theorem
Three-dimensional space (mathematics)
Trace (linear algebra)
Transversality (mathematics)
Two-form
Zariski tangent space
ISBN 1-4008-6516-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 1. Introduction -- 2. Clifford Algebras and Spin Groups -- 3. Spin Bundles and the Dirac Operator -- 4. The Seiberg-Witten Moduli Space -- 5. Curvature Identities and Bounds -- 6. The Seiberg-Witten Invariant -- 7. Invariants of Kahler Surfaces -- Bibliography
Record Nr. UNINA-9910786749103321
Morgan John W. <1946->  
Princeton, New Jersey : , : Princeton University Press, , 1996
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
Autore Morgan John W. <1946->
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 1996
Descrizione fisica 1 online resource (138 p.)
Disciplina 514/.2
Collana Mathematical Notes
Soggetto topico Four-manifolds (Topology)
Seiberg-Witten invariants
Mathematical physics
Soggetto non controllato Affine space
Affine transformation
Algebra bundle
Algebraic surface
Almost complex manifold
Automorphism
Banach space
Clifford algebra
Cohomology
Cokernel
Complex dimension
Complex manifold
Complex plane
Complex projective space
Complex vector bundle
Complexification (Lie group)
Computation
Configuration space
Conjugate transpose
Covariant derivative
Curvature form
Curvature
Differentiable manifold
Differential topology
Dimension (vector space)
Dirac equation
Dirac operator
Division algebra
Donaldson theory
Duality (mathematics)
Eigenvalues and eigenvectors
Elliptic operator
Elliptic surface
Equation
Fiber bundle
Frenet–Serret formulas
Gauge fixing
Gauge theory
Gaussian curvature
Geometry
Group homomorphism
Hilbert space
Hodge index theorem
Homology (mathematics)
Homotopy
Identity (mathematics)
Implicit function theorem
Intersection form (4-manifold)
Inverse function theorem
Isomorphism class
K3 surface
Kähler manifold
Levi-Civita connection
Lie algebra
Line bundle
Linear map
Linear space (geometry)
Linearization
Manifold
Mathematical induction
Moduli space
Multiplication theorem
Neighbourhood (mathematics)
One-form
Open set
Orientability
Orthonormal basis
Parameter space
Parametric equation
Parity (mathematics)
Partial derivative
Principal bundle
Projection (linear algebra)
Pullback (category theory)
Quadratic form
Quaternion algebra
Quotient space (topology)
Riemann surface
Riemannian manifold
Sard's theorem
Sign (mathematics)
Sobolev space
Spin group
Spin representation
Spin structure
Spinor field
Subgroup
Submanifold
Surjective function
Symplectic geometry
Symplectic manifold
Tangent bundle
Tangent space
Tensor product
Theorem
Three-dimensional space (mathematics)
Trace (linear algebra)
Transversality (mathematics)
Two-form
Zariski tangent space
ISBN 1-4008-6516-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 1. Introduction -- 2. Clifford Algebras and Spin Groups -- 3. Spin Bundles and the Dirac Operator -- 4. The Seiberg-Witten Moduli Space -- 5. Curvature Identities and Bounds -- 6. The Seiberg-Witten Invariant -- 7. Invariants of Kahler Surfaces -- Bibliography
Record Nr. UNINA-9910828604403321
Morgan John W. <1946->  
Princeton, New Jersey : , : Princeton University Press, , 1996
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106 / / Phillip A. Griffiths
Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106 / / Phillip A. Griffiths
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (328 pages) : illustrations
Disciplina 512/.33
Collana Annals of Mathematics Studies
Soggetto topico Geometry, Algebraic
Hodge theory
Torelli theorem
Soggetto non controllato Abelian integral
Algebraic curve
Algebraic cycle
Algebraic equation
Algebraic geometry
Algebraic integer
Algebraic structure
Algebraic surface
Arithmetic genus
Arithmetic group
Asymptotic analysis
Automorphism
Base change
Bilinear form
Bilinear map
Cohomology
Combinatorics
Commutative diagram
Compactification (mathematics)
Complete intersection
Complex manifold
Complex number
Computation
Deformation theory
Degeneracy (mathematics)
Differentiable manifold
Dimension (vector space)
Divisor (algebraic geometry)
Divisor
Elliptic curve
Elliptic surface
Equation
Exact sequence
Fiber bundle
Function (mathematics)
Fundamental class
Geometric genus
Geometry
Hermitian symmetric space
Hodge structure
Hodge theory
Homology (mathematics)
Homomorphism
Homotopy
Hypersurface
Intersection form (4-manifold)
Intersection number
Irreducibility (mathematics)
Isomorphism class
Jacobian variety
K3 surface
Kodaira dimension
Kronecker's theorem
Kummer surface
Kähler manifold
Lie algebra bundle
Lie algebra
Linear algebra
Linear algebraic group
Line–line intersection
Mathematical induction
Mathematical proof
Mathematics
Modular arithmetic
Module (mathematics)
Moduli space
Monodromy matrix
Monodromy theorem
Monodromy
Nilpotent orbit
Normal function
Open set
Period mapping
Permutation group
Phillip Griffiths
Point at infinity
Pole (complex analysis)
Polynomial
Projective space
Pullback (category theory)
Quadric
Regular singular point
Resolution of singularities
Riemann–Roch theorem for surfaces
Scientific notation
Set (mathematics)
Special case
Spectral sequence
Subgroup
Submanifold
Surface of general type
Surjective function
Tangent bundle
Theorem
Topology
Torelli theorem
Transcendental number
Vector space
Zariski topology
Zariski's main theorem
ISBN 1-4008-8165-X
Classificazione SK 240
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Table of Contents -- INTRODUCTION / Griffiths, Phillip -- Chapter I. VARIATION OF HODGE STRUCTURE / Griffiths, Phillip / Tu, Loring -- Chapter II. CURVATURE PROPERTIES OF THE HODGE BUNDLES / Griffiths, Phillip / Tu, Loring -- Chapter III. INFINITESIMAL VARIATION OF HODGE STRUCTURE / Griffiths, Phillip / Tu, Loring -- Chapter IV. ASYMPTOTIC BEHAVIOR OF A VARIATION OF HODGE STRUCTURE / Griffiths, Phillip / Tu, Loring -- Chapter V. MIXED HODGE STRUCTURES, COMPACTIFICATIONS AND MONODROMY WEIGHT FILTRATION / Cattani, Eduardo H. -- Chapter VI. THE CLEMENS-SCHMID EXACT SEQUENCE AND APPLICATIONS / Morrison, David R. -- Chapter VII DEGENERATION OF HODGE BUNDLES (AFTER STEENBRINK) / Zucker, Steven -- Chapter VIII. INFINITESIMAL TORELLI THEOREMS AND COUNTEREXAMPLES TO TORELLI PROBLEMS / Catanese, Fabrizio M.E. -- Chapter IX. THE TORELLI PROBLEM FOR ELLIPTIC PENCILS / Chakiris, Ken -- Chapter X. THE PERIOD MAP AT THE BOUNDARY OF MODULI / Friedman, Robert -- Chapter XI. THE GENERIC TORELLI PROBLEM FOR PRYM VARIETIES AND INTERSECTIONS OF THREE QUADRICS / Smith, Roy -- Chapter XII. INFINITESIMAL VARIATION OF HODGE STRUCTURE AND THE GENERIC GLOBAL TORELLI THEOREM / Griffiths, Phillip / Tu, Loring -- Chapter XIII. GENERIC TORELLI AND VARIATIONAL SCHOTTKY / Donagi, Ron -- Chapter XIV. INTERMEDIATE JACOBIANS AND NORMAL FUNCTIONS / Zucker, Steven -- Chapter XV. EXTENDABILITY OF NORMAL FUNCTIONS ASSOCIATED TO ALGEBRAIC CYCLES / Zein, Fouad El / Zucker, Steven -- Chapter XVI. SOME RESULTS ABOUT ABEL-JACOBI MAPPINGS / Clemens, Herbert -- Chapter XVII. INFINITESIMAL INVARIANT OF NORMAL FUNCTIONS / Griffiths, Phillip -- Backmatter
Record Nr. UNINA-9910154742603321
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui