When are there enough projective perverse sheaves?

Cipriani, Alessio and Woolf, J. O.N. (2022) When are there enough projective perverse sheaves? Glasgow Mathematical Journal, 64 (1). pp. 185-196. ISSN 1469509X

Abstract

Let X be a topologically stratified space, p be any perversity on X and k be a field. We show that the category of p-perverse sheaves on X, constructible with respect to the stratification and with coefficients in k, is equivalent to the category of finite-dimensional modules over a finite-dimensional algebra if and only if X has finitely many strata and the same holds for the category of local systems on each of these. The main component in the proof is a construction of projective covers for simple perverse sheaves.

Item Type:	Article
Identification Number:	10.1017/S0017089521000021
Depositing User:	Unnamed user with username chikyta
Date Deposited:	11 Jun 2024 03:46
Last Modified:	11 Jun 2024 03:46
URI:	http://repository.ub.ac.id/id/eprint/220850

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