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

Javier Fernandez de Bobadilla, Basque Foundation for Science, Bilbao, Basque Country, Spain, and Basque Center for Applied Mathematics, Bilbao, Basque Country, Spain, and Agustin Romano-Velazquez, Universidad Nacional Autonoma de Mexico, Cuernavaca, Morelos, Mexico.

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