Handbook of moduli / edited by Gavril Farkas, Ian Morrison.

Other author Farkas, Gavril, editor.
Other author Morrison, Ian, 1950- editor.
Format Book
PublicationSomerville, Massachusetts : International Press ; Beijing, China : Higher Education Press of China, [2013]
Copyright Date©2013
Description3 volumes : illustrations ; 26 cm.
Subjects
Moduli theory.

SeriesAdvanced lectures in mathematics ; volume 24-26
Advanced lectures in mathematics volume 24-26. ^A682129
Contents Volume I. Preface / Gavril Farkas and Ian Morrison. - Logarithmic geometry and moduli / Dan Abramovich, 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 compactifications of moduli spaces of curves / Maksym Fedorchuk and David Ishii Smyth. - The cohomology of the moduli space of Abelian varieties / Gerard van der Geer. - Moduli of K3 surfaces and irreducible symplectic manifolds / V. Gritsenko, K. Hulek and G.K. Sankaran. - Normal functions and the geometry of moduli spaces of curves / Richard Hain.
Contents 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 hyperbolicity of moduli stacks / Stefan Kebekus. - Contractible extremal rays on M0,n / Sean Keel and James McKernan. - 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.
Contents 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.
Bibliography noteIncludes bibliographical references.
ISBN9781571462572 (v.1)
ISBN1571462570 (v.1)
ISBN9781571462589 (v.2)
ISBN1571462589 (v.2)
ISBN9781571462596 (v.3)
ISBN1571462597 (v.3)