Mukai flops and Plücker type formulas for hyper-Kähler manifolds
arXiv:1510.05889 · doi:10.1090/proc/15120
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 Plücker 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.
12 pages, This paper is a revise and expansion of arXiv:math/0111179
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