Title: Stability conditions on Fano threefolds of Picard number 1
Abstract:We prove the conjectural Bogomolov–Gieseker type inequality for tilt-stable objects on each Fano threefold X of Picard number 1. In view of the previous works [1], [2] and [3] on Bridgeland stability ...We prove the conjectural Bogomolov–Gieseker type inequality for tilt-stable objects on each Fano threefold X of Picard number 1. In view of the previous works [1], [2] and [3] 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 Chern characters of slope semistable sheaves on X .Read More
Publication Year: 2018
Publication Date: 2018-11-23
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 46
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