Counterexample to the Generalized Bogomolov-Gieseker Inequality for Threefolds

Abstract

We give a counterexample to the generalized Bogomolov-Gieseker inequality for threefolds conjectured by Bayer, Macrì and Toda using the blow up of a point over three dimensional projective space.

3 pages, comments welcome

References in corpus (2)

• Stability conditions on Fano threefolds of Picard number one
• The Space of Stability Conditions on Abelian Threefolds, and on some Calabi-Yau Threefolds

Cited by in corpus (11)

• Stability conditions on product threefolds of projective spaces and Abelian varieties
• Derived categories and the genus of space curves
• Stability conditions on threefolds with nef tangent bundles
• Bridgeland Stability on Blow Ups and Counterexamples
• Curve counting and S-duality
• Walls and asymptotics for Bridgeland stability conditions on 3-folds
• Stability and the deformed Hermitian-Yang-Mills equation
• Bridgeland stability conditions on some threefolds of general type
• Stability conditions on Calabi-Yau double/triple solids
• Stability condition on Calabi-Yau threefold of complete intersection of quadratic and quartic hypersurfaces
• Tilt stability and the degree of irrationality of surfaces on threefolds