Rational curves and MBM classes on hyperkahler manifolds: a survey
Algebraic Geometry
2020-11-18 v1
Abstract
This paper deals with rational curves and birational contractions on irreducible holomorphically symplectic manifold. We survey some recent results about minimal rational curves, their deformations, extremal rays associated with these curves, and the geometry of the K\"ahler cone.
Keywords
Cite
@article{arxiv.2011.08727,
title = {Rational curves and MBM classes on hyperkahler manifolds: a survey},
author = {Ekaterina Amerik and Misha Verbitsky},
journal= {arXiv preprint arXiv:2011.08727},
year = {2020}
}
Comments
25 pages, to appear in the Progress in Math. volume of the Schiermonnikoog conference on rationality (April 2019)