Rational curves on primitive symplectic varieties of OG6 singular type
Algebraic Geometry
2022-06-03 v1
Abstract
We prove that any ample class on a primitive symplectic variety that is locally trivial deformation of O'Grady's singular 6 dimensional example is proportional to the first Chern class of a uniruled divisor. This result answers a question of Lehn, Mongardi and Pacienza, extending their result for primitive symplectic varieties of this deformation type.
Keywords
Cite
@article{arxiv.2206.00691,
title = {Rational curves on primitive symplectic varieties of OG6 singular type},
author = {Valeria Bertini and Annalisa Grossi},
journal= {arXiv preprint arXiv:2206.00691},
year = {2022}
}
Comments
17 pages, comments welcome