Fourier-Mukai partners and polarised K3 surfaces

2012/06/20 by Klaus Hulek, Hulek, Klaus, David Ploog +1
Mathematics · #11E12 #14J28 primary #18E30 secondary #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1206.4558

openalex publication_date 2012/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this note is twofold. We first review the theory of Fourier-Mukai partners together with the relevant part of Nikulin's theory of lattice embeddings via discriminants. Then we consider Fourier-Mukai partners of K3 surfaces in the presence of polarisations, in which case we prove a counting formula for the number of partners.

Citations

• Log Crepant Birational Maps and Derived Categories

Related

• Fourier-Mukai number of a K3 surface
• Fourier-Mukai partners of a K3 surface and the cusps of its Kahler moduli
• Fourier-Mukai partners of a K3 surface of Picard number one
• Twisted Fourier-Mukai number of a K3 surface
• Some remarks about the FM-partners of K3 surfaces with Picard numbers 1 and 2