Riemann-Roch Polynomials of the known Hyperkähler Manifolds

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.

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Bibliographic Details
Published in:arXiv.org 2023-11
Main Author: Ríos Ortiz, Ángel David
Format: Article
Language:English
Subjects:
Manifolds
Polynomials
Online Access:Get full text
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Description
Summary: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.
ISSN:2331-8422