An application of wall-crossing to Noether-Lefschetz loci
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Accepted version
Author(s)
Feyzbakhsh, Soheyla
Thomas, Richard P
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.
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.
Date Issued
2019-12-03
Citation
2019
Publisher
arXiv
Identifier
http://arxiv.org/abs/1912.01644v1
Subjects
math.AG
math.AG
Notes
20 pages, appendix by Claire Voisin
Publication Status
Published