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.

• Introduction1. Description of results2. Reflexive modules and full sheaves3. Enhancing the Chern class and the degeneracy modules correspondences4. The minimal adapted resolution5. The cohomology of full sheaves on normal Stein surfaces with Gorenstein singularities6. The classification and structure of special reflexive modules7. Deformations of reflexive modules and full sheaves8. Classification of Gorenstein normal surface singularities in Cohen-Macaulay representation types9. Lifting deformations10. Moduli spaces of special reflexive sheaves on Gorenstein surface singularities