Fully faithfulness criteria for quasi-projective schemes

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 s...

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Bibliographic Details
Published inCollectanea mathematica (Barcelona) Vol. 68; no. 2; pp. 219 - 227
Main Author López Martín, Ana Cristina
Format Journal Article
LanguageEnglish
Published Milan Springer Milan 01.05.2017
Springer Nature B.V
Subjects
Algebra
Analysis
Applications of Mathematics
Criteria
Geometry
Mathematics
Mathematics and Statistics
Singularity (mathematics)
Fully faithfulness
Primary: 18E30
Autoduality
Secondary: 14F05
Compactified Jacobians
Singular curves
Integral functors
14H40
Fourier-Mukai
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Summary: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.
ISSN:0010-0757
2038-4815
DOI:10.1007/s13348-016-0179-x