A note on Bogomolov-Gieseker type inequality for Calabi-Yau 3-folds. (English) Zbl 1337.14019
Summary: 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.
MSC:
| 14F05 | Sheaves, derived categories of sheaves, etc. (MSC2010) |
| 14J32 | Calabi-Yau manifolds (algebro-geometric aspects) |
| 14J30 | \(3\)-folds |
References:
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