Geometric stability conditions under autoequivalences and applications: Elliptic Surfaces

Autor:	Lo, Jason, Martinez, Cristian
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry Primary 14D20 14J27 Secondary: 14F08
Druh dokumentu:	Working Paper
Popis:	On a Weierstrass elliptic surface, we describe the action of the relative Fourier-Mukai transform on the geometric chamber of $\mathrm{Stab}(X)$, and in the K3 case we also study the action on one of its boundary components. Using new estimates for the Gieseker chamber we prove that Gieseker stability for polarizations on certain Friedman chamber is preserved by the derived dual of the relative Fourier-Mukai transform. As an application of our description of the action, we also prove projectivity for some moduli spaces of Bridgeland semistable objects. Comment: 32 pages, comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.01261 Zobrazit plný text záznamu View this record from Arxiv