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arXiv · 1201.4911

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

Yukinobu Toda
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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.

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Yukinobu Toda. 2012-01-24. A note on Bogomolov-Gieseker type inequality for Calabi-Yau 3-folds. https://arxiv.org/abs/1201.4911

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