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math.AG2009
Decompositions of Abelian surface and quadratic forms
Shouhei Ma
When a complex Abelian surface can be decomposed into a product of two elliptic curves, how many decompositions does the Abelian surface admit ? We provide arithmetic formulae for…
math.AG2008
Twisted Fourier-Mukai number of a K3 surface
Shouhei Ma
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 s…
math.AG2008★ 1 cited
Fourier-Mukai partners of a K3 surface and the cusps of its Kahler moduli
Shouhei Ma
Using lattice theory, we establish a one-to-one correspondence between the set of Fourier-Mukai partners of a projective surface and the set of 0-dimensional standard cusps of…