arXiv:1607.08199 Abstract | arXiv Analytics

arXiv:1607.08199 [math.AG]Abstract References Reviews Resources

Bridgeland Stability Conditions on Fano Threefolds

Marcello Bernardara, Emanuele Macrì, Benjamin Schmidt, Xiaolei Zhao

Published 2016-07-27Version 1

We show the existence of Bridgeland stability conditions on all Fano threefolds, by proving a modified version of a conjecture by Bayer, Toda, and the second author. The key technical ingredient is a strong Bogomolov inequality, proved recently by Chunyi Li. Additionally, we prove the original conjecture for some toric threefolds by using the toric Frobenius morphism.

Comments: 23 pages, 1 figure

Categories: math.AG

Subjects: 14F05, 14J30, 18E30

Keywords: bridgeland stability conditions, fano threefolds, strong bogomolov inequality, toric frobenius morphism, original conjecture

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