English

Regularity for elliptic pairs over C[[h]]

Algebraic Geometry 2012-09-12 v4

Abstract

We extend the results of Schapira and Schneiders on relative regularity and finiteness of elliptic pairs to the framework of \shd[[]]\shd[[\hbar]]-modules and R\R-constructible sheaves of \C[[\h]]\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.

Keywords

Cite

@article{arxiv.1003.4873,
  title  = {Regularity for elliptic pairs over C[[h]]},
  author = {David Raimundo},
  journal= {arXiv preprint arXiv:1003.4873},
  year   = {2012}
}

Comments

Final version. The title was changed. Accepted for publication in Rendiconti del Seminario Matematico della Universit\`a di Padova

R2 v1 2026-06-21T15:02:30.153Z