Rational curves on O'Grady's tenfolds
Algebraic Geometry
2023-05-02 v2
Abstract
We study the existence of ample uniruled divisors on irreducible holomorphic symplectic manifolds that are deformation of the ten dimensional example introduced by O'Grady. In particular, we show that for any polarized OG10 manifold lying in four specific connected components of the moduli space of polarized OG10 manifolds there exists a multiple of the polarization that is the class of a uniruled divisor.
Keywords
Cite
@article{arxiv.2101.01029,
title = {Rational curves on O'Grady's tenfolds},
author = {Valeria Bertini},
journal= {arXiv preprint arXiv:2101.01029},
year = {2023}
}
Comments
Final version, to appear in the Kyoto Journal of Mathematics