Fourier-Mukai partners of a K3 surface and the cusps of its Kahler moduli

Details Fourier-Mukai partners of a K3 surface and the cusps of its Kahler moduli Fourier-Mukai partners of a K3 surface and the cusps of its Kahler moduli

2008-04-25

arxiv.org/abs/0804.4047v3

Mathematics

Algebraic Geometry

25 pages. I corrected a mistake

Scientific paper

Using lattice theory, we establish a one-to-one correspondence between the set of Fourier-Mukai partners of a projective $K3$ surface and the set of 0-dimensional standard cusps of its Kahler moduli. We also study the relation between twisted Fourier-Mukai partners and general 0-dimensional cusps, and the relation between Fourier-Mukai partners with elliptic fibrations and certain 1-dimensional cusps.

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