Regularity for elliptic pairs over C[[h]]

David Raimundo

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arXiv · 1003.4873

Regularity for elliptic pairs over C[[h]]

David Raimundo

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Abstract

We extend the results of Schapira and Schneiders on relative regularity and finiteness of elliptic pairs to the framework of $\shd[[\hbar]]$-modules and $\R$-constructible sheaves of $\C[[\h]]$-modules. We also construct a relative duality morphism for elliptic pairs in the smooth case and we prove that it is an isomorphism if the elliptic pair satisfies the finiteness criteria.

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David Raimundo. 2010-03-25. Regularity for elliptic pairs over C[[h]]. https://arxiv.org/abs/1003.4873

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