A note on Bogomolov-Gieseker type inequality for Calabi-Yau 3-folds

Abstract

The conjectural Bogomolov-Gieseker (BG) type inequality for tilt semistable objects on projective 3-folds was proposed by Bayer, Macri and the author. In this note, we prove our conjecture for slope stable sheaves with the smallest first Chern class on certain Calabi-Yau 3-folds, e.g. quintic 3-folds.

9 pages

References in corpus (2)

• Bridgeland-Stable Moduli Spaces for K-Trivial Surfaces
• Bridgeland Stability conditions on threefolds I: Bogomolov-Gieseker type inequalities

Cited by in corpus (2)

• Gepner point and strong Bogomolov-Gieseker inequality for quintic 3-folds
• Some examples of tilt-stable objects on threefolds