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。代数几何是任何一个希望在数学学科有所作为的学生和研究人员需要了解的一门学科，而模空间是代数几何最重要的一类对象。
《模手册（卷3）（英文版）》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。
VolumeⅠ
Preface
Carrril Farkas and Ian Morrison
Logarithmic geometry and moduli
Dan Abramovich, Q/le Chen, Danny Gillam, Yuhao Huang, Martin Olsson,
Invariant Hilbert schemes
Algebraic and tropical curves: comparing their moduli spaces
A superficial working guide to deformations and moduli
Moduli spaces of hyperbolic surfaces and their Weil-Petersson volumes
Equivariant geometry and the cohomology of the moduli space of curves
Tautological and non-tautological cohomology of the moduli space of curves
Alternate compactifications of moduli spaces of curves
The cohomology of the moduli space ofAbelian varieties
Moduli of K3 surfaces and irreduable symplectic manifolds
Normal functions and the geometry of moduli spaces of curves VolumeⅠ
Preface
Carrril Farkas and Ian Morrison
Logarithmic geometry and moduli
Dan Abramovich, Q/le Chen, Danny Gillam, Yuhao Huang, Martin Olsson,
Invariant Hilbert schemes
Algebraic and tropical curves: comparing their moduli spaces
A superficial working guide to deformations and moduli
Moduli spaces of hyperbolic surfaces and their Weil-Petersson volumes
Equivariant geometry and the cohomology of the moduli space of curves
Tautological and non-tautological cohomology of the moduli space of curves
Alternate compactifications of moduli spaces of curves
The cohomology of the moduli space ofAbelian varieties
Moduli of K3 surfaces and irreduable symplectic manifolds
Normal functions and the geometry of moduli spaces of curves
Volume Ⅱ
Parameter spaces of curves
Global topology of the Hitchin system
Differential forms on singular spaces, the minimal model program, and hyperboliaty of moduli stacks
Contractible extremal rays on MO,n
Moduli of varieties of general type
Singularities of stable varieties
Soliton equations and the Riemann-Schottky problem
GIT and moduli with a twist
Good degenerations of moduli spaces
Localization in Gromov-Witten theory and Orbifold Gromov-Witten theory
From WZW models to modular functors
Shimura varieties and moduli
The Torelli locus and special subvarieties
……
Volume Ⅲ
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