D-modules on 1|1 supercurves
نویسندگان
چکیده
It is known that to every (1|1)-dimensional supercurve X there is associated a dual supercurve X̂ , and a superdiagonal∆ ⊂ X× X̂ . We establish that the categories ofD-modules on X , X̂ and ∆ are equivalent. This follows from a more general result aboutD-modules and purely odd submersions. The equivalences preserve tensor products, and take vector bundles to vector bundles. Line bundles with connection are studied, and examples are given where X is a super elliptic curve. © 2010 Elsevier B.V. All rights reserved.
منابع مشابه
ar X iv : 0 90 8 . 19 89 v 1 [ m at h . A G ] 1 3 A ug 2 00 9 D - MODULES ON 1 | 1 SUPERCURVES
It is known that to every (1|1) dimensional supercurve X there is associated a dual supercurve X̂ , and a superdiagonal ∆ ⊂ X × X̂. We establish that the categories of D-modules on X , X̂ and ∆ are equivalent. This follows from a more general result about D-modules and purely odd submersions. The equivalences preserve tensor products, and take vector bundles to vector bundles. Line bundles with co...
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