Differential Isomorphism and Equivalence of Algebraic Varieties

Details Differential Isomorphism and Equivalence of Algebraic Varieties Differential Isomorphism and Equivalence of Algebraic Varieties

2003-04-22

arxiv.org/abs/math/0304320v1

Mathematics

Algebraic Geometry

22 pages, to appear in a volume dedicated to Graeme Segal's 60th birthday

Scientific paper

In this survey article we discuss the question: to what extent is an
algebraic variety determined by its ring of differential operators? In the case
of affine curves, this question leads to a variety of mathematical notions such
as the Weyl algebra, Calogero-Moser spaces and the adelic Grassmannian. We give
a fairly detailed overview of this material.

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