Duality Spectral Sequences for Weierstrass Fibrations and Applications

Published 6 Jun 2017 in math.AG | (1706.01923v1)

Abstract: We study duality spectral sequences for Weierstrass fibrations. Using these spectral sequences, we show that on a K-trivial Weierstrass threefold over a K-numerically trivial surface, any line bundle of nonzero fiber degree is taken by a Fourier-Mukai transform to a slope stable locally free sheaf.

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