Open Access
September, 2003 Explicit models for perverse sheaves
Félix Gudiel, Luis Narváez
Rev. Mat. Iberoamericana 19(2): 425-454 (September, 2003).


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.


Download Citation

Félix Gudiel. Luis Narváez. "Explicit models for perverse sheaves." Rev. Mat. Iberoamericana 19 (2) 425 - 454, September, 2003.


Published: September, 2003
First available in Project Euclid: 8 September 2003

zbMATH: 1057.18006
MathSciNet: MR2023194

Primary: 14F43 , 18E30 , 32S60

Keywords: abelian category , derived category , perverse sheaf , stratified space , t-structure

Rights: Copyright © 2003 Departamento de Matemáticas, Universidad Autónoma de Madrid

Vol.19 • No. 2 • September, 2003
Back to Top