a1 Department of Mathematics, Faculty of Science, Kobe University, Kobe, 657-8501, Japan (email: firstname.lastname@example.org)
We consider the problem of preservation of stability under the Fourier–Mukai transform ℰ:D(X)→D(Y ) on an abelian surface and a K3 surface. If Y is the moduli space of μ-stable sheaves on X with respect to a polarization H, we have a canonical polarization on Y and we have a correspondence between (X,H) and . We show that the stability with respect to these polarizations is preserved under ℰ, if the degree of stable sheaves on X is sufficiently large.
(Received May 01 2007)
(Accepted June 04 2008)
2000 Mathematics Subject Classification