M-regularity and the Fourier-Mukai transform

2005/12/29 by Giuseppe Pareschi, Pareschi, Giuseppe, Mihnea Popa +1 · 2 citations
Mathematics · #14E25 #14F05 #14K05 #14K12 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.math/0512645

openalex publication_date 2005/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a survey of M-regularity for coherent sheaves on abelian varieties and its applications, based on lectures given by the second author at the Seattle conference, in August 2005, and at the Luminy GAC workshop in October 2005. Section 3 contains some brief indications of upcoming work.

Cited by

• Kobayashi hyperbolicity of complete linear systems on abelian varieties
• Hyperbolicity of adjoint linear series on varieties with positive tangent bundle

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