Fully faithfulness criteria for quasi-projective schemes

  1. Ana Cristina López Martín
Revista:
Collectanea mathematica

ISSN: 0010-0757

Ano de publicación: 2017

Volume: 68

Fascículo: 2

Páxinas: 219-227

Tipo: Artigo

DOI: 10.1007/S13348-016-0179-X DIALNET GOOGLE SCHOLAR lock_openAcceso aberto editor

Outras publicacións en: Collectanea mathematica

Resumo

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.

Información de financiamento

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