Fully faithfulness criteria for quasi-projective schemes

  1. Ana Cristina López Martín
Revue:
Collectanea mathematica

ISSN: 0010-0757

Année de publication: 2017

Volumen: 68

Fascículo: 2

Pages: 219-227

Type: Article

DOI: 10.1007/S13348-016-0179-X DIALNET GOOGLE SCHOLAR lock_openAccès ouvert editor

D'autres publications dans: Collectanea mathematica

Résumé

We extend to quasi-projective schemes that kind of Bondal-Orlov’s criterion for a Fourier-Mukai functor to be fully faithful and we prove a variant of it valid in arbitrary characteristic. As a first application of these criteria we prove the fully faithfulness of the Fourier-Mukai functor used to show the autoduality of the compactified Jacobian for reduced projective curves with locally planar singularities.

Information sur le financement

Work supported by the research project MTM2013-45935-P (MINECO).