53 citations · 500 across the 103 of their papers we have counts for
6 papers · 2 filters
Categorical duality between joins and intersections
Qingyuan Jiang, Naichung Conan Leung
Classically, the projective duality between joins of varieties and the intersections of varieties only holds in good cases. In this paper, we show that categorically, the duality b…
Embeddings from noncompact symmetric spaces to their compact duals
Yunxia Chen, Yongdong Huang, Naichung Conan Leung
Every compact symmetric space admits a dual noncompact symmetric space . When is a generalized Grassmannian, we can view as a open submanifold of it…
bundles over singular surfaces and flag varieties of type
Yunxia Chen, Naichung Conan Leung
Based on the Brieskorn-Slodowy-Grothendieck diagram, we write the holomorphic structures (or filtrations) of the ADE Lie algebra bundles over the corresponding type ADE flag variet…
Derived category of projectivizations and flops
Qingyuan Jiang, Naichung Conan Leung
In this paper, we prove a generalization of Orlov's projectivization formula for the derived category , where does not need t…
Blowing up linear categories, refinements, and homological projective duality with base locus
Qingyuan Jiang, Naichung Conan Leung
In this paper, we first introduce geometric operations for linear categories, and as a consequence generalize Orlov's blow up formula [O04] to possibly singular local complete inte…
Scattering diagrams from asymptotic analysis on Maurer-Cartan equations
Kwokwai Chan, Naichung Conan Leung, Ziming Nikolas Ma
Let be a semi-flat Calabi-Yau manifold equipped with a Lagrangian torus fibration . We investigate the asymptotic behavior of M…