Twisted Fourier-Mukai number of a K3 surface
Shouhei Ma
TL;DR
This paper provides a counting formula for twisted Fourier-Mukai partners of projective K3 surfaces and characterizes all such partners for surfaces with Picard number 1.
Contribution
It introduces a new counting formula for twisted Fourier-Mukai partners and classifies these partners for K3 surfaces with Picard number 1.
Findings
Derived a counting formula for twisted Fourier-Mukai partners.
Classified all twisted Fourier-Mukai partners for K3 surfaces with Picard number 1.
Abstract
We give a counting formula for the twisted Fourier-Mukai partners of a projective K3 surface. As an application, we describe all twisted Fourier-Mukai partners of a projective K3 surface of Picard number 1.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Commutative Algebra and Its Applications