Stability conditions on Fano threefolds of Picard number 1

  • Chunyi Li

    University of Edinburgh, UK
Stability conditions on Fano threefolds of Picard number 1 cover

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Abstract

We prove the conjectural Bogomolov–Gieseker type inequality for tilt-stable objects on each Fano threefold 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. We also get a new stronger bound for Chern characters of slope semistable sheaves on .

Cite this article

Chunyi Li, Stability conditions on Fano threefolds of Picard number 1. J. Eur. Math. Soc. 21 (2019), no. 3, pp. 709–726

DOI 10.4171/JEMS/848