Pullbacks of hyperplane sections for Lagrangian fibrations are primitive
Algebraic Geometry
2020-09-04 v4
Abstract
Let p: M -> B be a Lagrangian fibration on a hyperkahler manifold of maximal holonomy (also known as IHS), and H the generator of the Picard group of B. We prove that the pullback is a primitive class on M.
Cite
@article{arxiv.1612.07378,
title = {Pullbacks of hyperplane sections for Lagrangian fibrations are primitive},
author = {Ljudmila Kamenova and Misha Verbitsky},
journal= {arXiv preprint arXiv:1612.07378},
year = {2020}
}
Comments
9 pages, v. 4.0, published version with minor corrections; proof of Theorem 3.1 simplified, claim 4.5 corrected