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Fourier-Mukai transforms of curves and principal polarizations

2007/02/06 by Marcello Bernardara, Bernardara, Marcello
Computer Science · Mathematics · #14F05 #14H40 #14H60 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14F05 #msc:14H40 #msc:14H60

paper · pdf · doi:10.48550/arxiv.math/0702152

7 pages

arxiv created 2007/02/06 · openalex publication_date 2007/02/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a Fourier-Mukai transform Φ between the bounded derived categories of two smooth projective curves, we verifiy that the induced map between the Jacobian varieties preserves the principal polarization if and only if Φ is an equivalence.

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