Explicit models for perserse sheaves.

Félix Gudiel Rodríguez; Luis Narváez Macarro

Revista Matemática Iberoamericana (2003)

  • Volume: 19, Issue: 2, page 425-454
  • ISSN: 0213-2230

Abstract

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We consider categories of generalized perverse sheaves, with relaxed constructibility conditions, by means of the process of gluing t-structures and we exhibit explicit abelian categories defined in terms of standard sheaves categories which are equivalent to the former ones. In particular , we are able to realize perverse sheaves categories as non full abelian subcategories of the usual bounded complexes of sheaves categories. Our methods use induction on perversities. In this paper, we restrict ourselves to the two-strata case, but our results extend to the general case.

How to cite

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Gudiel Rodríguez, Félix, and Narváez Macarro, Luis. "Explicit models for perserse sheaves.." Revista Matemática Iberoamericana 19.2 (2003): 425-454. <http://eudml.org/doc/39612>.

@article{GudielRodríguez2003,
abstract = {We consider categories of generalized perverse sheaves, with relaxed constructibility conditions, by means of the process of gluing t-structures and we exhibit explicit abelian categories defined in terms of standard sheaves categories which are equivalent to the former ones. In particular , we are able to realize perverse sheaves categories as non full abelian subcategories of the usual bounded complexes of sheaves categories. Our methods use induction on perversities. In this paper, we restrict ourselves to the two-strata case, but our results extend to the general case.},
author = {Gudiel Rodríguez, Félix, Narváez Macarro, Luis},
journal = {Revista Matemática Iberoamericana},
keywords = {Teoría de categorías; Haces; Singularidades; t-structures; derived categories of sheaves},
language = {eng},
number = {2},
pages = {425-454},
title = {Explicit models for perserse sheaves.},
url = {http://eudml.org/doc/39612},
volume = {19},
year = {2003},
}

TY - JOUR
AU - Gudiel Rodríguez, Félix
AU - Narváez Macarro, Luis
TI - Explicit models for perserse sheaves.
JO - Revista Matemática Iberoamericana
PY - 2003
VL - 19
IS - 2
SP - 425
EP - 454
AB - We consider categories of generalized perverse sheaves, with relaxed constructibility conditions, by means of the process of gluing t-structures and we exhibit explicit abelian categories defined in terms of standard sheaves categories which are equivalent to the former ones. In particular , we are able to realize perverse sheaves categories as non full abelian subcategories of the usual bounded complexes of sheaves categories. Our methods use induction on perversities. In this paper, we restrict ourselves to the two-strata case, but our results extend to the general case.
LA - eng
KW - Teoría de categorías; Haces; Singularidades; t-structures; derived categories of sheaves
UR - http://eudml.org/doc/39612
ER -

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