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math.AG2026
Lagrangian Intersections, Symplectic Reduction and Kirwan Surjectivity
Naichung Conan Leung, Ying Xie, Yu Tung Yau
Given a smooth holomorphic symplectic variety with a Hamiltonian -action, -invariant Lagrangians induce Lagrangians in the symplectic quotient . Given clean…
math.AG2023
On Derived Categories of Generalized Grassmannian Flips
Naichung Conan Leung, Ying Xie
In this paper, we construct and classify a new family of flips, called generalized Grassmannian flips, by generalizing the construction of standard flips for $\mathbb{P}^m\times \m…
math.AG2019
DK Conjecture for Some -inequivalences from Grassmannians
Naichung Conan Leung, Ying Xie
The DK conjecture of Bondal-Orlov and Kawamata states that there should be an embedding of bounded derived categories for any -inequivalence, which is proved to be true for the…