代數幾何和算術代數幾何是現代數學的重要分支，與數學的許多分支有著廣泛的聯繫，如數論、解析幾何、微分幾何、交換代數、代數群、拓撲學等。代數幾何是任何一個希望在數學學科有所作為的學生和研究人員需要了解的一門學科，而模空間是代數幾何*重要的一類對像。
《模手冊(卷Ⅱ)(精)》由法卡斯、莫裡森所著，本書是由50多位活躍在代數幾何領域的世界知名專家撰寫的綜述性文章組成。每一篇文章針對一個專題，作者力求將**手、*新鮮的材料呈現給讀者，通過介紹該專題中基礎知識、例子和結論，帶領讀者快速進入該領域，並了解領域內重要問題；同時介紹*新的進展，使得讀者能夠很快捕捉到該領域*主要的文獻。

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
Mumford's 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