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Can I read Deformations of Quasicoherent Sheaves of Algebras on EtoBox?
Deformations of Quasicoherent Sheaves of Algebras by Valery A. Lunts is a Mathematics article available to read on EtoBox.
What is Deformations of Quasicoherent Sheaves of Algebras about?
Gerstenhaber and Schack [NATO Adv. Sci. Inst. Ser. C, Vol. 247, 1986] developed a deformation theory of presheaves of algebras on small categories. We translate their cohomological description to sheaf cohomology. More precisely, we describe the deformation space of (admissible) quasicoherent sheaves of algebras on a quasiprojective scheme X in terms of sheaf cohomology on X and X × X. These results are applied to the study of deformations of the sheaf D X of differential operators on X. In particular, in case X is a flag variety we show that any deformation of D X , which is induced by a deformation of O X , must be trivial. This result is used in [Lunts, Rosenberg, manuscript], where we study the localization construction for quantum groups.
Who reads Deformations of Quasicoherent Sheaves of Algebras?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Valery A. Lunts
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-8693)
- Published
- 2003
- Language
- EN
- Field
- Mathematics (Physical Sciences)