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An application of wall-crossing to Noether-Lefschetz loci
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 |