Reflexive Modules on Normal Gorenstein Stein Surfaces, Their Deformations and Moduli (Memoirs of the American Mathematical Society)

Bobadilla, Javier Fernandez de/ Romano-Velazquez, Agustin

American Mathematical Society（2024/08発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 94 p.
• 言語 ENG
• 商品コード 9781470470531

Full Description

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.

Contents

Introduction
1. Description of results
2. Reflexive modules and full sheaves
3. Enhancing the Chern class and the degeneracy modules correspondences
4. The minimal adapted resolution
5. The cohomology of full sheaves on normal Stein surfaces with Gorenstein singularities
6. The classification and structure of special reflexive modules
7. Deformations of reflexive modules and full sheaves
8. Classification of Gorenstein normal surface singularities in Cohen-Macaulay representation types
9. Lifting deformations
10. Moduli spaces of special reflexive sheaves on Gorenstein surface singularities