Fourier-Mukai number of a K3 surface

2002/02/02 by Shinobu Hosono, Bong H. Lian, Hosono, Shinobu +6 · 2 citations
Mathematics · #11A41 #11R29 #14J28 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric and Algebraic Topology #math.AG #msc:11A41 #msc:11R29 #msc:14J28

paper · pdf · doi:10.48550/arxiv.math/0202014

AMS LaTeX, 16 pages; title changed, submitted to the proceedings of "Workshop on Algebraic Structures and Moduli Spaces" (Jul.14-20,2003 at CRM, Montreal)

openalex publication_date 2002/02/02 · arxiv created 2003/11/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We shall give a Counting Formula for the number of Fourier-Mukai partners of a K3 surface and consider three applications.

Cited by

• L-equivalence and Fourier--Mukai partners of cubic fourfolds
• Counting Fourier-Mukai partners of cubic fourfolds

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• Fourier-Mukai numbers of K3 categories of very general special cubic fourfolds