Fourier transform for D-algebras

1999/01/04 by Alexander Polishchuk, Mitchell Rothstein, Polishchuk, Alexander +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math.AG

paper · pdf · doi:10.48550/arxiv.math/9901009

25 pages, AMSLatex

arxiv created 1999/01/04 · arxiv updated 2009/11/30

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).

Citations

• Commutative Ordinary Differential Operators

Cited by

• On Quantization of the Geometric Langlands Correspondence I
• Holonomic D-modules on abelian varieties
• Electric-magnetic duality and the geometric Langlands program

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