Mukai flops and Pl\"ucker type formulas for hyper-K\"ahler manifolds

Research paper by Yalong Cao, Naichung Conan Leung

Indexed on: 20 Oct '15Published on: 20 Oct '15Published in: Mathematics - Algebraic Geometry

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.