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An application of wall-crossing to Noether-Lefschetz loci

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Title: An application of wall-crossing to Noether-Lefschetz loci
Authors: Feyzbakhsh, S
Thomas, RP
Item Type: Working Paper
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.
Issue Date: 3-Dec-2019
URI: http://hdl.handle.net/10044/1/79345
Publisher: arXiv
Keywords: math.AG
math.AG
math.AG
math.AG
Notes: 20 pages, appendix by Claire Voisin
Publication Status: Published
Appears in Collections:Pure Mathematics
Faculty of Natural Sciences
Mathematics



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