2003/04/22 by Yuri Berest, George Wilson, Berest, Yuri +1
Computer Science · Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Logic, programming, and type systems #Mathematical Physics (math-ph) #Polynomial and algebraic computation #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math-ph #math.AG #math.MP #math.QA #math.RA #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.math/0304320
22 pages, to appear in a volume dedicated to Graeme Segal's 60th birthday
arxiv created 2003/04/22 · openalex publication_date 2003/04/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.