An application of wall-crossing to Noether-Lefschetz loci

Soheyla Feyzbakhsh; Richard P. Thomas

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arXiv · 1912.01644

An application of wall-crossing to Noether-Lefschetz loci

Soheyla Feyzbakhsh·Richard P. Thomas

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Abstract

Consider a smooth projective 3-fold $X$ satisfying the Bogomolov-Gieseker conjecture of Bayer-Macr\`{i}-Toda (such as $\mathbb P^3$, the quintic threefold or an abelian threefold). Let $L$ be a line bundle supported on a very positive surface in $X$. If $c_1(L)$ is a primitive cohomology class then we show it has very negative square.

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Soheyla Feyzbakhsh, Richard P. Thomas. 2019-12-03. An application of wall-crossing to Noether-Lefschetz loci. https://arxiv.org/abs/1912.01644

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