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A quotient stack related to the Weyl algebra

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 نشر من قبل S. Paul Smith
 تاريخ النشر 2011
  مجال البحث
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 تأليف S. Paul Smith




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Let A denote the ring of differential operators on the affine line with its two usual generators t and d/dt given degrees +1 and -1 respectively. Let X be the stack having coarse moduli space the affine line Spec k[z] and isotropy groups Z/2 at each integer point. Then the category of graded A-modules is equivalent to the category of quasi-coherent sheaves on X. Version 2: corrected typos and deleted appendix at referees suggestion.



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