Mathematical Research Letters

Volume 30 (2023)

Number 4

On the Bogomolov–Gieseker inequality for hypersurfaces in the projective spaces

Pages: 1113 – 1130

DOI: https://dx.doi.org/10.4310/MRL.2023.v30.n4.a6

Author

Naoki Koseki (Mathematical Sciences, University of Liverpool, United Kingdom)

Abstract

We investigate the stronger form of the Bogomolov–Gieseker inequality on smooth hypersurfaces in the projective space of any degree and dimension. The main technical tool is the theory of tilt-stability conditions in the derived category.

Full Text (PDF format)

Received 15 October 2020

Received revised 31 March 2022

Accepted 17 May 2022

Published 3 April 2024