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

Javier Fernandez de Bobadilla, Agustin Romano-Velazquez

ISBN 10: 1470470535 / ISBN 13: 9781470470531

Published by American Mathematical Society, US, 2024

About this Item

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Seller Inventory # LU-9781470470531

Bibliographic Details

• Title: Reflexive Modules on Normal Gorenstein Stein Surfaces, Their Deformations and Moduli
• Publisher: American Mathematical Society, US
• Publication Date: 2024
• Language: English
• ISBN 10: 1470470535
• ISBN 13: 9781470470531
• Binding: Paperback
• Condition: New
• Dimensions: 25.4W x 17.78H x 1.42D centimeters 25.4 centimeters width by 17.78 centimeters height by 1.42 centimeters depth
• Weight: 340 grams

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.