Stability conditions on Fano threefolds of Picard number one

Published 14 Oct 2015 in math.AG | (1510.04089v2)

Abstract: We prove the conjectural Bogomolov-Gieseker type inequality for tilt slope stable objects on each Fano threefold X of Picard number one. Based on the previous works on Bridgeland stability conditions, this induces an open subset of geometric stability conditions on D^b(X). We also get a new stronger bound for the Chern characters of slope semistable sheaves on X.

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Chunyi Li

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