Mukai flops and Pl\"ucker type formulas for hyper-K\"ahler manifolds
Algebraic Geometry
2020-08-18 v1
Abstract
We study the intersection theory of complex Lagrangian subvarieties inside holomorphic symplectic manifolds. In particular, we study their behaviour under Mukai flops and give a rigorous proof of the Pl\"ucker type formula for Legendre dual subvarieties written down by the second author before. Then we apply the formula to study projective dual varieties in projective spaces.
Keywords
Cite
@article{arxiv.1510.05889,
title = {Mukai flops and Pl\"ucker type formulas for hyper-K\"ahler manifolds},
author = {Yalong Cao and Naichung Conan Leung},
journal= {arXiv preprint arXiv:1510.05889},
year = {2020}
}
Comments
12 pages, This paper is a revise and expansion of arXiv:math/0111179