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)

Availability

Library Location Call Number Status Item Actions
Joyner General Stacks QA564 .H25 2013 V. 1 ✔ Available Place Hold
Joyner General Stacks QA564 .H25 2013 V. 2 ✔ Available Place Hold
Joyner General Stacks QA564 .H25 2013 V. 3 ✔ Available Place Hold