Generalized Bogomolov-Gieseker type inequalities on Fano 3-folds

Dulip Piyaratne

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arXiv · 1607.07172

Generalized Bogomolov-Gieseker type inequalities on Fano 3-folds

Dulip Piyaratne

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Abstract

We modify the conjectural Bogomolov-Gieseker type inequality introduced by Bayer, Macri and Toda to construct a family of geometric Bridgeland stability conditions on smooth projective 3-folds. We give an equivalent conjecture which needs to check these inequalities for a small class of tilt stable objects. We extend some of the techniques in Li's work for Fano 3-folds of Picard rank one to establish our modified Bogomolov-Gieseker type inequality conjecture for general Fano 3-folds.

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BibTeX RIS

Dulip Piyaratne. 2016-07-25. Generalized Bogomolov-Gieseker type inequalities on Fano 3-folds. https://arxiv.org/abs/1607.07172

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