Computing Noncommutative Global Deformations Of D-Modules

Eivind Eriksen ()
Additional contact information
Eivind Eriksen: Oslo University College

Chapter 10 in Generalized Lie Theory in Mathematics, Physics and Beyond, 2009, pp 109-117 from Springer

Abstract: Let (X,D) be a D-scheme in the sense of Beilinson and Bernstein, given by an algebraic variety X and a morphism O script> X →D of sheaves of rings on X. We consider noncommutative deformations of quasi-coherent sheaves of left D-modules on X, and show how to compute their pro-representing hulls. As an application, we compute the noncommutative deformations of the left D script> X -module O script> X when X is any elliptic curve.

Keywords: Elliptic Curve; Forgetful Functor; Versal Family; Integrable Connection; Simple Left (search for similar items in EconPapers)
Date: 2009
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-85332-9_10

Ordering information: This item can be ordered from
http://www.springer.com/9783540853329

DOI: 10.1007/978-3-540-85332-9_10

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().