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Geometry, analysis and probability : in honor of Jean-Michel Bismut / Jean-Benoît Bost ... [et al.] editors
| Geometry, analysis and probability : in honor of Jean-Michel Bismut / Jean-Benoît Bost ... [et al.] editors |
| Pubbl/distr/stampa | Cham, : Birkhauser, 2017 |
| Descrizione fisica | vi, 361 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
14-XX - Algebraic geometry [MSC 2020] 58-XX - Global analysis, analysis on manifolds [MSC 2020] 53-XX - Differential geometry [MSC 2020] 60-XX - Probability theory and stochastic processes [MSC 2020] 32-XX - Several complex variables and analytic spaces [MSC 2020] |
| Soggetto non controllato |
Analytic torsion
Arithmetic hyperbolic manifolds Determinant line bundle Groupoids and higher categories K-stability Kähler-Einstein metrics Log-correlated Gaussian field Moduli spaces of stable bundles Moment map Polylogarithm on abelian schemes Renormalization flow for the FK-percolation models Teichmüller theory Weierstrass divisors |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0123372 |
| Cham, : Birkhauser, 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings
| Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings |
| Autore | Faltings Gerd |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (113 pages) |
| Disciplina | 516.3/5 |
| Altri autori (Persone) | ZhangShouwu |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Geometry, Algebraic
Riemann-Roch theorems |
| Soggetto non controllato |
Addition
Adjoint Alexander Grothendieck Algebraic geometry Analytic torsion Arakelov theory Asymptote Asymptotic expansion Asymptotic formula Big O notation Cartesian coordinate system Characteristic class Chern class Chow group Closed immersion Codimension Coherent sheaf Cohomology Combination Commutator Computation Covariant derivative Curvature Derivative Determinant Diagonal Differentiable manifold Differential form Dimension (vector space) Divisor Domain of a function Dual basis E6 (mathematics) Eigenvalues and eigenvectors Embedding Endomorphism Exact sequence Exponential function Generic point Heat kernel Injective function Intersection theory K-group Levi-Civita connection Line bundle Linear algebra Local coordinates Mathematical induction Morphism Natural number Neighbourhood (mathematics) Parameter Projective space Pullback (category theory) Pullback (differential geometry) Pullback Riemannian manifold Riemann–Roch theorem Self-adjoint operator Smoothness Sobolev space Stochastic calculus Summation Supertrace Theorem Transition function Upper half-plane Vector bundle Volume form |
| ISBN | 1-4008-8247-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- LIST OF SYMBOLS -- LECTURE 1. CLASSICAL RIEMANN-ROCH THEOREM -- LECTURE 2. CHERN CLASSES OF ARITHMETIC VECTOR BUNDLES -- LECTURE 3. LAPLACIANS AND HEAT KERNELS -- LECTURE 4. THE LOCAL INDEX THEOREM FOR DIRAC OPERATORS -- LECTURE 5. NUMBER OPERATORS AND DIRECT IMAGES -- LECTURE 6. ARITHMETIC RIEMANN-ROCH THEOREM -- LECTURE 7. THE THEOREM OF BISMUT-VASSEROT -- REFERENCES |
| Record Nr. | UNINA-9910154744103321 |
Faltings Gerd
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Riemann Surfaces Related Topics (AM-97), Volume 97 : Proceedings of the 1978 Stony Brook Conference. (AM-97) / / Bernard Maskit, Irwin Kra
| Riemann Surfaces Related Topics (AM-97), Volume 97 : Proceedings of the 1978 Stony Brook Conference. (AM-97) / / Bernard Maskit, Irwin Kra |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (533 pages) : illustrations |
| Disciplina | 515/.223 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Riemann surfaces |
| Soggetto non controllato |
Abstract simplicial complex
Affine transformation Algebraic curve Algebraic element Algebraic equation Algebraic surface Analytic function Analytic torsion Automorphic form Automorphic function Automorphism Banach space Basis (linear algebra) Boundary (topology) Bounded set (topological vector space) Cohomology ring Cohomology Commutative property Commutator subgroup Compact Riemann surface Complex analysis Complex manifold Conformal geometry Conformal map Conjugacy class Covering space Diagram (category theory) Dimension (vector space) Divisor (algebraic geometry) Divisor Eigenvalues and eigenvectors Equivalence class Equivalence relation Ergodic theory Existential quantification Foliation Fuchsian group Fundamental domain Fundamental group Fundamental polygon Geodesic Geometric function theory Group homomorphism H-cobordism Hausdorff measure Holomorphic function Homeomorphism Homomorphism Homotopy Hyperbolic 3-manifold Hyperbolic manifold Hyperbolic space Infimum and supremum Injective module Interior (topology) Intersection form (4-manifold) Isometry Isomorphism class Jordan curve theorem Kleinian group Kähler manifold Limit point Limit set Manifold Meromorphic function Metric space Mostow rigidity theorem Möbius transformation Poincaré conjecture Pole (complex analysis) Polynomial Product topology Projective variety Quadratic differential Quasi-isometry Quasiconformal mapping Quotient space (topology) Radon–Nikodym theorem Ricci curvature Riemann mapping theorem Riemann sphere Riemann surface Riemannian geometry Riemannian manifold Schwarzian derivative Strictly convex space Subgroup Submanifold Surjective function Tangent space Teichmüller space Theorem Topological conjugacy Topological space Topology Uniformization theorem Uniformization Uniqueness theorem Unit disk Vector bundle |
| ISBN | 1-4008-8155-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- A Geometric Property of Bers' Embedding of The Teichmuller Space / Abikoff, William -- Plane Models for Riemann Surf Aces Admitting Certain Half-Canonical Linear Series, Part I / Accola, Robert D. M. -- Nontriviality of Teichmuller Space for Kleinian Group in Space / Apanasov, B. N. -- The Action of The Modular Group on The Complex Boundary / Bers, Lipman -- Some Remarks on Bounded Cohomology / Brooks, Robert -- The Dynamics of 2-Generator Subgroups of PSL(2, ℂ) / Brooks, Robert / Matelski, J. Peter -- Minimal Geodesics on Fricke's Torus-Covering / Cohn, Harvey -- On Variation of Projective Structures / Earle, Clifford J. -- Vanishing Theta Constants / Farkas, Hershel M. -- Analytic Torsion and Prym Differentials / Fay, John -- On a Notion of Quasiconformal Rigidity for Riemann Surf Aces / Gardiner, Frederick P. -- Spirals and The Universal Teichmuller Space / Gehring, F. W. -- Intersection Matrices for Bases Adapted to Automorphisms of a Compact Riemann Surface / Gilman, Jane / Patterson, David -- Homomorphisms of Triangle Groups Into PSL(2, ℂ) / Greenberg, Leon -- Hyperbolic Manifolds, Groups and Actions / Gromov, M. -- Automorphisms of Compact Riemann Surfaces and Weierstrass Points / Guerrero, Ignacio -- Affine and Projective Structures on Riemann Surf Aces / Gunning, R. C. -- Boundary Structure of The Modular Group / Harvey, W. J. -- A Realization Problem in The Theory of Analytic Curves / Heins, Maurice -- The Monodromy of Projective Structures / Hubbard, John H. -- Holomorphic Families of Riemann Surf Aces and Teichmoller Spaces / Imayoshi, Yoichi -- Commutators in SL(2, ℂ) / Jørgensen, Troels -- Two Examples of Covering Surf Aces / Jørgensen, T. / Marden, A. / Pommerenke, C. -- Deformations of Symmetric Products / Kempf, George R. -- Remarks on Projective Structures / Kra, Irwin / Maskit, Bernard -- Some Remarks on Kleinian Groups / Krushkal, S. L. -- Remarks on Web Groups / Kuroda, Tadashi / Mori, Seiki / Takahashi, Hidenori -- Remarks on Fuchsian Groups Associated with Open Riemann Surfaces / Kusunoki, Yukio / Taniguchi, Masahiko -- On Generalized Weierstrass Points and Rings with No Prime Elements / Laufer, Henry B. -- The Topology of Analytic Surfaces: Decompositions of Elliptic Surfaces / Mandelbaum, Richard -- Dense Geodesics in Moduli Space / Masur, Howard -- Automorphismen Ebener Diskontinuierlicher Gruppen / Rosenberger, Gerhard -- Remarks on The Geometry of The Siegel Modular Group / Sibner, Robert J. -- On The Ergodic Theory at Infinity of an Arbitrary Discrete Group of Hyperbolic Motions / Sullivan, Dennis -- On Infinite Nielsen Kernels / Wason, Judith C. -- Hyperbolic 3-Manifolds which share a Fundamental Polyhedron / Wielenberg, Norbert J. -- The Length Spectrum as Moduli for Compact Riemann Surfaces / Wolpert, Scott -- Backmatter |
| Record Nr. | UNINA-9910154746303321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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