Stability conditions on Calabi-Yau double/triple solids

Naoki Koseki

Stability conditions on Calabi-Yau double/triple solids

Algebraic Geometry 2022-07-11 v2

Authors: Naoki Koseki

Abstract

In this paper, we prove a stronger form of the Bogomolov-Gieseker (BG) inequality for stable sheaves on two classes of Calabi-Yau threefolds, namely, weighted hypersurfaces inside the weighted projective spaces $\mathbb{P}(1, 1, 1, 1, 2)$ and $\mathbb{P}(1, 1, 1, 1, 4)$ . Using the stronger BG inequality as a main technical tool, we construct open subsets in the spaces of Bridgeland stability conditions on these Calabi-Yau threefolds.

Keywords

bridgeland stability conditions calabi-yau manifold

Cite

@article{arxiv.2007.00044,
  title  = {Stability conditions on Calabi-Yau double/triple solids},
  author = {Naoki Koseki},
  journal= {arXiv preprint arXiv:2007.00044},
  year   = {2022}
}

Comments

34 pages, 4 figures, improvements based on the referee's comments, to appear in Forum of Mathematics, Sigma

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