{ "id": "math/9901009", "version": "v1", "published": "1999-01-04T21:45:13.000Z", "updated": "1999-01-04T21:45:13.000Z", "title": "Fourier transform for D-algebras", "authors": [ "Alexander Polishchuk", "Mitchell Rothstein" ], "comment": "25 pages, AMSLatex", "categories": [ "math.AG" ], "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).", "revisions": [ { "version": "v1", "updated": "1999-01-04T21:45:13.000Z" } ], "analyses": { "keywords": [ "fourier transform", "d-algebras", "abelian varieties", "kapranovs theory", "second author" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999math......1009P" } } }