Riemann-Roch Polynomials of the known Hyperk\"ahler Manifolds
Algebraic Geometry
2023-11-15 v3
Abstract
We compute explicit formulas for the Euler characteristic of line bundles in the two exceptional examples of Hyperk\"ahler Manifolds introduced by O'Grady. In the Appendix Yalong Cao and Chen Jiang use our formulas to compute the Chern numbers for the 10-dimensional example.
Keywords
Cite
@article{arxiv.2006.09307,
title = {Riemann-Roch Polynomials of the known Hyperk\"ahler Manifolds},
author = {Ángel David Ríos Ortiz},
journal= {arXiv preprint arXiv:2006.09307},
year = {2023}
}
Comments
10 pages. With an appendix by Yalong Cao and Chen Jiang. v3: Final version. Accepted for publication in Bulletin de la Societe Mathematique de France