Alexander Polishchuk, Mitchell Rothstein
Published 1999-01-04Version 1
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).
Comments: 25 pages, AMSLatex
Isogeny classes of abelian varieties over function fields
Constancy of Newton polygons of $F$-isocrystals on Abelian varieties and isotriviality of families of curves
Cycles in the de Rham cohomology of abelian varieties over number fields
![QR code for arXiv:math/9901009 [math.AG]](http://oss.arxitics.com/images/favicon.svg)