%0 Journal Article %T Fourier-Mukai partners of a K3 surface and the cusps of its Kahler moduli %A Shouhei Ma %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0804.4047v3