Reflexive Modules on Normal Gorenstein Stein Surfaces, Their Deformations and Moduli

Bobadilla, Javier Fernande (Author)/ Romano velazque, Agustin (Author)

ISBN 10: 1470470535 / ISBN 13: 9781470470531

Published by MP–AMM American Mathematical, 2024

About this Item

94 pages. 10.00x7.00x0.56 inches. In Stock.

Seller Inventory # __1470470535

Bibliographic Details

• Title: Reflexive Modules on Normal Gorenstein Stein Surfaces, Their Deformations and Moduli
• Publisher: MP AMM American Mathematical
• Publication Date: 2024
• Language: English
• ISBN 10: 1470470535
• ISBN 13: 9781470470531
• Binding: Paperback
• Condition: Brand New
• Weight: 0.64 kilograms

About this title

Synopsis

"In this paper we generalize Artin-Verdier, Esnault and Wunram construction of McKay correspondence to arbitrary Gorenstein surface singularities. The key idea is the definition and a systematic use of a degeneracy module, which is an enhancement of the first Chern class construction via a degeneracy locus. We study also deformation and moduli questions. Among our main result we quote: a full classification of special reflexive MCM modules on normal Gorenstein surface singularities in terms of divisorialvaluations centered at the singularity, a first Chern class determination at an adequate resolution of singularities, construction of moduli spaces of special reflexive modules, a complete classification of Gorenstein normal surface singularities in representation types, and a study on the deformation theory of MCM modules and its interaction with their pullbacks at resolutions. For the proof of these theorems it is crucial to establish several isomorphisms between different deformation functors, that weexpect that will be useful in further work as well"-- Provided by publisher.