12 citations · 12 across the 6 of their papers we have counts for
9 papers
Sharp FRS and singularity thresholds for off-diagonal Gram maps
Ying Xie
The off-diagonal Gram map for h vectors in an M-dimensional quadratic space is flat with reduced fibers of rational singularities (FRS) in characteristic zero if and only if M > ma…
Symmetric-determinant apolarity in odd characteristic
Ying Xie
Let D_N be the determinant of the generic symmetric N x N matrix, and let differential operators act by ordinary differentiation over a field of odd characteristic p. We determine…
Derivative and multiplicity loci of elementary symmetric polynomials in positive characteristic
Ying Xie
We determine the dimensions of all derivative loci and all higher multiplicity loci of an elementary symmetric polynomial over an algebraically closed field of positive characteris…
Dimensions of permanental varieties in arbitrary size
Ying Xie
Let be the ideal generated by the permanents of a generic matrix over a field of characteristic different from two. We prove that $\dim K[X]/I_h(…
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…
Quantization commutes with reduction for coisotropic A-branes
Naichung Conan Leung, Ying Xie, Yutung Yau
On a Hamiltonian -manifold , we define the notion of -invariance of coisotropic A-branes . Under neat assumptions, we give a Marsden-Weinstein-Meyer type construction o…
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…
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…
Categorical Plücker Formula and Homological Projective Duality
Qingyuan Jiang, Naichung Conan Leung, Ying Xie
Homological Projective duality (HP-duality) theory, introduced by Kuznetsov [42], is one of the most powerful frameworks in the homological study of algebraic geometry. The main re…