模手册(卷Ⅱ)
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天津西青
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作者(德)法卡斯,(美)莫里森 编
出版社高等教育出版社
ISBN9787040351682
出版时间2013-01
装帧精装
开本16开
定价128元
货号1203379782
上书时间2024-10-23
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目录
Volume Ⅰ
Preface
Gavril Farkas and Ian Morrison
Logarithmic geometry and moduli
Dan Abramorrich, Qile Chen, Danny Gillam, Yuhao Huang, Martin Olsson, Matthew Satriano and Shenghao Sun
Invariant Hilbert schemes
Michel Brion
Algebraic and tropical curves: comparing their moduli spaces
Lucia Caporaso
A superficial working guide to deformations and moduli
F. Catanese
Moduli spaces of hyperbolic surfaces and their Weil-Petersson volumes
Norman Do
Equivariant geometry and the cohomology of the moduli space of curves
Dan Edidin
Tautological and non-tautological cohomology of the moduli space of curves
C. Faber and R. Pandharipande
Alternate compaaifications of moduli spaces of curves
Maksym Fedorchuh and David Ishii Smyth
The cohomology of the moduli space ofAbelian varieties
Gerard van der Geer
Moduli of K3 surfaces and irreducible symplectic manifolds
V Gritsenko, K. Hulek and C.K. Sanharan
Normal functions and the geometry of moduli spaces of curves
Richard Hain
Volume Ⅱ
Parameter spaces of curves
Joe Harris
Global topology of the Hitchin system
Tamas Hausel
Differential forms on singular spaces, the minimal model program, and hyperboliaty of moduli stacks
Stefan Kebekus
Contractible extremal rays on Mo,n
Sean Keel and James Me Kernan
Moduli of varieties of general type
Janos Kollar
Singularities of stable varieties
Sandor J Kovacs
Soliton equations and the Riemann-Schottky problem
I. Krichever and T. Shiota
GIT and moduli with a twist
Radu Laza
Good degenerations of moduli spaces
Jun Li
Localization in Gromov-Witten theory and Orbifold Gromov-Witten theory
Chiu-Chu Melissa Liu
From WZW models to modular functors
Eduard Looijenga
Shimura varieties and moduli
J.S. Milne
The Torelli locus and special subvarieties
Ben Moonen and Frans Oort
Volume Ⅲ
Birational geometry for nilpotent orbits
Yoshinori Namikawa
Cell decompositions of moduli space, lattice points and Hurwitz problems
Paul Norbury
Moduli of abelian varieties in mixed and in positive characteristic
Frans Oort
Local models of Shimura varieties, I. Geometry and combinatorics
Georgios Pappas, Michael Rapoport and Brian Smithling
Generalized theta linear series on moduli spaces of vector bundles on curves
Mihnea Popa
Computer aided unirationality proofs of moduli spaces
Frank-Olaf Schreyer
Deformation theory from the point of view of fibered categories
Mattia Talpo and Angelo Vistoli
Mumfords conjecture -- a topological outlook
Ulrike Tillmann "
Rational parametrizations of moduli spaces of curves
Alessandro Verra
Hodge loci
Claire Voisin
Homological stability for mapping class groups of surfaces
Nathalie Wahl
内容摘要
代数几何和算术代数几何是现代数学的重要分支, 与数学的许多分支学科有着广泛的联系，如数论、解析几何、微分几何、交换代数、代数群、拓扑学等。代数几何的发展和这些学科的发展起着相互促进的作用。同时，作为一门理论学科，代数几何的应用前景也开始受到人们的注意，其中的一个显著的例子是代数几何在控制论中的应用及在最新的超弦理论中广泛应用。
《模手册》共三卷, 是由50多位活跃在代数几何领域的世界知名专家撰写的综述性文章组成。 每一篇文章针对一个专题，作者力求将第一手、最新鲜的材料呈现给读者，通过介绍该专题中基础知识、例子和结论，带领读者快速进入该领域，并了解领域内重要问题；同时介绍最新的进展，使得读者能够很快捕捉到该领域最主要的文献。
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