Abstract

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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