A generalized Bogomolov–Gieseker inequality for the three-dimensional projective space

By Emanuele Macrì. 2012

90 citations recorded by the source corpus.

A generalized Bogomolov–Gieseker inequality for tilt-stable complexes on a smooth projective threefold was conjectured by Bayer, Toda, and the author. We show that such inequality holds true in general if it holds true when the polarization is sufficiently small. As an application, we prove it for the three-dimensional projective space.

Subfields: Geometry and Topology, Mathematical Physics, Spectroscopy

View Paper: https://www.semanticscholar.org/paper/292dbe16314235179ceb17e148c12f5003d3d2a5

How researchers see this paper

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In Geometry and Topology

1. Emanuele Macrì
2. Arend Bayer
3. P. Stellari
4. Chunyi Li
5. D. Huybrechts
6. Benjamin Schmidt
7. Yukinobu Toda
8. Xiaolei Zhao

In Mathematical Physics

1. Emanuele Macrì
2. Arend Bayer
3. P. Stellari
4. D. Huybrechts
5. Chunyi Li
6. Yukinobu Toda
7. Benjamin Schmidt
8. Alexander Kuznetsov

In Spectroscopy

1. Arend Bayer
2. P. Stellari

Citations in the corpus

• The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds (2014, methodology): “4, and since the latter has been verified for P3 in [11,26], and for the quadric threefold in [39], it also applies in these two cases.”