Stability conditions on threefolds with nef tangent bundles

Abstract

In this paper, we prove the Bogomolov-Gieseker type inequality conjecture for threefolds with nef tangent bundles. As a corollary, there exist Bridgeland stability conditions on these threefolds.

arXiv comment21 pages, some proofs are improved

References in corpus (13)

• Markov convexity and local rigidity of distorted metrics
• MMP for moduli of sheaves on K3s via wall-crossing: nef and movable cones, Lagrangian fibrations
• A generalized Bogomolov-Gieseker inequality for the three-dimensional projective space
• A generalized Bogomolov-Gieseker inequality for the smooth quadric threefold
• Stability conditions in families
• Birational models of moduli spaces of coherent sheaves on the projective plane
• On stability conditions for the quintic threefold
• Counterexample to the Generalized Bogomolov-Gieseker Inequality for Threefolds
• Stability conditions on Fano threefolds of Picard number one
• Stability conditions on product threefolds of projective spaces and Abelian varieties
• Moduli of Bridgeland semistable objects on 3-folds and Donaldson-Thomas invariants
• Bridgeland Stability on Blow Ups and Counterexamples
• Donaldson-Thomas invariants of abelian threefolds and Bridgeland stability conditions

Cited by in corpus (5)

• Stability conditions in families
• Curve counting and S-duality
• Stability conditions on Calabi-Yau double/triple solids
• Stability and Applications
• DHYM connections on higher rank holomorphic vector bundles over $\mathbb{P}(T_{{\mathbb{P}}^2})$