English

Fourier transform for D-algebras

Algebraic Geometry 2007-05-23 v1

Abstract

We construct a version of Fourier transform for a class of non-commutative algebras over abelian varieties which include algebras of twisted differential operators generalizing the previous construction of Laumon (alg-geom/9603004) and of the second author (alg-geom/9602023). We also construct the microlocal version of this transform and its etale localization in the framework of Kapranov's theory of NC-schemes (see math.AG/9802041).

Keywords

Cite

@article{arxiv.math/9901009,
  title  = {Fourier transform for D-algebras},
  author = {Alexander Polishchuk and Mitchell Rothstein},
  journal= {arXiv preprint arXiv:math/9901009},
  year   = {2007}
}

Comments

25 pages, AMSLatex