2 citations · 6 across the 6 of their papers we have counts for
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Derived category of projectivization and generalized linear duality
Qingyuan Jiang
In this note, we generalize the linear duality between vector subbundles (or equivalently quotient bundles) of dual vector bundles to coherent quotients $V \twoheadrightarrow \math…
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…
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…