Finiteness and duality for elliptic pairs over C[[h]]

Details Finiteness and duality for elliptic pairs over C[[h]] Finiteness and duality for elliptic pairs over C[[h]]

2010-03-25

arxiv.org/abs/1003.4873v3

Mathematics

Algebraic Geometry

This new version is a complete reformulation of the one that was previously submitted to arxiv, which had only the regularity,

Scientific paper

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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