close
1.

図書
図書
1. Several complex variables with connections to algebraic geometry and Lie groups
Joseph L. Taylor
出版情報: Providence, R.I. : American Mathematical Society, c2002  xvi, 507 p. ; 26 cm
シリーズ名: Graduate studies in mathematics ; v. 46
所蔵情報: loading…
目次情報: 続きを見る
Selected problems in one complex variable
Holomorphic functions of several variables
Local rings and varieties
The Nullstellensatz Dimension
Homological algebra Sheaves and sheaf cohomology
Coherent algebraic sheaves
Coherent analytic sheaves Stein spaces
Frechet sheaves-Cartan's theorems
Projective varieties Algebraic vs. analytic-Serre's theorems
Lie groups and their representations
Algebraic groups
The Borel-Weil-Bott theorem
Bibliography
Index
Selected problems in one complex variable
Holomorphic functions of several variables
Local rings and varieties
2.

図書
図書
2. Classical groups and geometric algebra
Larry C. Grove
出版情報: Providence, R.I. : American Mathematical Society, c2002  x, 169 p. ; 26 cm
シリーズ名: Graduate studies in mathematics ; v. 39
所蔵情報: loading…
3.

図書
図書
3. Global calculus
S. Ramanan
出版情報: Providence, R.I. : American Mathematical Society, c2005  xi, 316 p. ; 27 cm
シリーズ名: Graduate studies in mathematics ; v. 65
所蔵情報: loading…
目次情報: 続きを見る
Preface
Sheaves and Differential Manifolds: Definitions and Examples / Chapter 1：
Sheaves and Presheaves / 1：
Basic Constructions / 2：
Differential Manifolds / 3：
Lie Groups; Action on a Manifold / 4：
Exercises
Differential Operators / Chapter 2：
First Order Differential Operators
Locally Free Sheaves and Vector Bundles
Flow of a Vector Field
Theorem of Frobenius
Tensor Fields; Lie Derivative / 5：
The Exterior Derivative; de Rham Complex / 6：
Differential Operators of Higher Order / 7：
Integration on Differential Manifolds / Chapter 3：
Integration on a Manifold
Sheaf of Densities
Adjoints of Differential Operators
Cohomology of Sheaves and Applications / Chapter 4：
Injective Sheaves
Sheaf Cohomology
Cohomology through Other Resolutions
Singular and Sheaf Cohomologies
Cech and Sheaf Cohomologies
Differentiable Simplices; de Rham's Theorem
Connections on Principal and Vector Bundles; Lifting of Symbols / Chapter 5：
Connections in a Vector Bundle
The Space of All Connections on a Bundle
Principal Bundles
Connections on Principal Bundles
Curvature
Chern-Weil Theory
Holonomy Group; Ambrose-Singer Theorem
Linear Connections / Chapter 6：
Lifting of Symbols and Torsion
Manifolds with Additional Structures / Chapter 7：
Reduction of the Structure Group
Torsion Free G-Connections
Complex Manifolds
The Outer Gauge Group
Riemannian Geometry
Riemannian Curvature Tensor
Ricci, Scalar and Weyl Curvature Tensors
Clifford Structures and the Dirac Operator / 8：
Local Analysis of Elliptic Operators / Chapter 8：
Regularisation
A Characterisation of Densities
Schwartz Space of Functions and Densities
Fourier Transforms
Distributions
Theorem of Sobolev
Interior Regularity of Elliptic Solutions
Vanishing Theorems and Applications / Chapter 9：
Elliptic Operators on Differential Manifolds
Elliptic Complexes
Composition Formula
A Vanishing Theorem
Hodge Decomposition
Lefschetz Decomposition
Kodaira's Vanishing Theorem
The Imbedding Theorem
Appendix
Algebra
Topology
Analysis
Bibliography
Index
Preface
Sheaves and Differential Manifolds: Definitions and Examples / Chapter 1：
Sheaves and Presheaves / 1：
4.

図書
図書
4. The geometry of syzygies : a second course in commutative algebra and algebraic geometry
David Eisenbud
出版情報: New York : Springer, c2005  xvi, 243 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 229
所蔵情報: loading…
目次情報: 続きを見る
Preface: Algebra and Geometry
Free Resolutions and Hilbert Functions
First Examples of Free Resolutions
Points in P^2
Castelnuovo'Mumford Regularity
The Regularity of Projective Curves
Linear Series and 1-Generic Matrices
Linear Complexes and the Linear Syzygy Theorem
Curves of High Degree
Clifford Index and Canonical Embedding
Introduction to Local Cohomology / Appendix 1：
A Jog Through Commutative Algebra / Appendix 2：
References
Index
Preface: Algebra and Geometry
Free Resolutions and Hilbert Functions
First Examples of Free Resolutions
5.

図書
図書
5. Integral closure : Rees algebras, multiplicities, algorithms
Wolmer Vasconcelos
出版情報: Berlin : Springer, c2005  xii, 519 p. ; 24 cm
シリーズ名: Springer monographs in mathematics
所蔵情報: loading…
目次情報: 続きを見る
Preface
Introduction
Numerical Invariants of a Rees Algebra
Hilbert Functions and Multiplicities
Depth and Cohomology of Rees Algebras
Divisors of a Rees Algebra
Koszul Homology
Integral Closure of Algebras
Integral Closure and Normalization of Ideals
Integral Closure of Modules
How To
References
Notation and Terminology
Index
Preface
Introduction
Numerical Invariants of a Rees Algebra
6.

図書
図書
6. Geometric methods in algebra and number theory
Fedor Bogomolov, Yuri Tschinkel, editors
出版情報: Boston : Birkhäuser, c2005  viii, 362 p. ; 25 cm
シリーズ名: Progress in mathematics ; v. 235
所蔵情報: loading…
7.

図書
図書
7. Geometric aspects of Dwork theory
editors, Alan Adolphson ... [et al.]
出版情報: Berlin : Walter de Gruyter, c2004  2 v. (xiv, 1129 p.) ; 25 cm
所蔵情報: loading…
8.

図書
図書
8. Period domains over finite and p-adic fields
Jean-François Dat, Sascha Orlik, Michael Rapoport
出版情報: New York : Cambridge University Press, 2010  xxii, 372 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 183
所蔵情報: loading…
目次情報: 続きを見る
Preface
Introduction
Period Domains for GLn over Finite Fields / Part 1：
Filtered Vector Spaces / I：
Filtrations / 1：
The tensor product theorem / 2：
The Harder-Narasimhan filtration / 3：
Period Domains for GLn / II：
Definition and examples
The relation to GIT
The Harder-Narasimhan stratification
Period domains over F1 and this cells / 4：
Cohomology of Period Domains for GLn / III：
The Langlands Lemma
The generalized Steinberg representations
The Euler-Poincaré characteristic
Period Domains for Reductive Groups over Finite Fields / Part 2：
Interlude on the Tannakian Formalism / IV：
Tensor categories
Gradings and filtrations
Filtrations on Repk(G) / V：
Slopes
Semi-stability
Period Domains for Reductive Groups / VI：
Definitions
Cohomology of Period Domains for Reductive Groups / VII：
The Langlands Lemma and generalized Steinberg representations
Period Domains over p-Adic Fields / Part 3：
Filtered isocrystals / VIII：
Period domains for GLn
Isocrystals with coefficients / 5：
Period Domains for p-Adic Reductive Groups / IX：
C-isocrystals and group schemes over Isoc(L)
Filtrations on ωG
Automorphism groups and decency
Structure of X*(G)Q/G for a reductive a.g.s
Period domains
Relation to GIT / 6：
G-isocrystals with coefficients / 8：
Cohomology of Period Domains over p-Adic Fields / X：
Generalized Steinberg representations
Compactly supported l-adic cohomology of strata
The Euler-Poincaré characteristic in the basic case
Complements / Part 4：
Further Aspects of Period Domains / XI：
The fundamental complex
The relation to Deligne-Lusztig varieties
The Drinfeld space for a p-adic field
Local systems on p-adic period domains
The cohomology complex of p-adic period domains
References
Index
Preface
Introduction
Period Domains for GLn over Finite Fields / Part 1：
9.

図書
図書
9. Glimpses of soliton theory : the algebra and geometry of nonlinear PDEs
Alex Kasman
出版情報: Providence, R.I. : American Mathematical Society, 2010  xvi, 304 p. ; 22 cm
シリーズ名: Student mathematical library ; v. 54
所蔵情報: loading…
10.

図書
図書
10. Joins and intersections
H. Flenner, L. O'Carroll, W. Vogel
出版情報: New York : Springer, c1999  vi, 307 p. ; 25 cm
シリーズ名: Springer monographs in mathematics
所蔵情報: loading…
目次情報: 続きを見る
Introduction
Notations
The Classical Bezout Theorem / 1：
Degrees of Projective Schemes / 1.1：
Multiplicities of Local Rings / 1.2：
Joins / 1.3：
Generic Bertini Theorems / 1.4：
The Intersection Algorithm and Applications / 2：
The Intersection Algorithm / 2.1：
Application I: The Refined Bezout Theorem / 2.2：
Segre Classes, v-Cycles and Positivity / 2.3：
Segre Classes: The General Case / 2.4：
Limits of Joins and Intersections / 2.5：
Connectedness and Bertini Theorems / 3：
Connectedness Theorems / 3.1：
Applications to Intersections and Singularities of Mappings / 3.2：
Open Loci Results and the Generic Principle / 3.3：
Bertini Theorems / 3.4：
Grothendieck's Finiteness Theorem and Applications / 3.5：
A Relative Version of Krull's Principal Ideal Theorem / 3.6：
Joins and Intersections / 4：
Linear Projections / 4.1：
Tangencies of Algebraic Varieties / 4.2：
Embedded Tangent Spaces and Tangent Cones / 4.3：
Dual Varieties and the Gauss Map / 4.4：
Superadditivity of Join Defects / 4.5：
Joins, Vertices and Higher Join Varieties / 4.6：
Higher Secant Varieties of Rational Normal Scrolls / 4.7：
Converse to Bezout's Theorem / 5：
Joins of Minimal Dimension / 5.1：
A Numerical Criterion for Proper Intersection / 5.2：
The Arithmetically Cohen-Macaulay Case / 5.3：
A Local Version of Bezout's Theorem / 5.4：
Intersection Numbers and their Properties / 6：
A General Version of the j-Multiplicity / 6.1：
Intersection Numbers / 6.2：
Criteria for Bounded Multiplicity / 6.3：
Examples and Problems / 6.4：
Linkage, Koszul Cohomology and Intersections / 7：
Linkage / 7.1：
Strongly Cohen-Macaulay Subschemes / 7.2：
Linkage and the Strong Cohen-Macaulay Property / 7.3：
Applications to Cones, Joins and Secant Varieties / 7.4：
Secant Varieties for Two Dimensional Singularities / 7.5：
Limits of Joins for Small Deviation / 7.6：
Further Applications / 8：
Generic Residual Intersections / 8.1：
Generic Projections and Double Point Cycles / 8.2：
Generic Projections and the Ramification Cycle / 8.3：
Trisecant Varieties and Inner Projections / 8.4：
Appendix / A：
Some Standard Results from Commutative Algebra / A.1：
Gorenstein Rings / A.2：
Historical Remarks / A.3：
Bibliography
Index of Notations
Index
Introduction
Notations
The Classical Bezout Theorem / 1：
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼