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arxiv: 1706.01923 · v1 · pith:5YTCR2KBnew · submitted 2017-06-06 · 🧮 math.AG

Duality Spectral Sequences for Weierstrass Fibrations and Applications

classification 🧮 math.AG
keywords sequencesspectralweierstrassdualityfibrationsapplicationsbundledegree
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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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