12 citations · 48 across the 13 of their papers we have counts for
13 papers
Onboard View Planning of a Flying Camera for High Fidelity 3D Reconstruction of a Moving Actor
Qingyuan Jiang, Volkan Isler
Capturing and reconstructing a human actor's motion is important for filmmaking and gaming. Currently, motion capture systems with static cameras are used for pixel-level high-fide…
Derived Categories of Derived Grassmannians
Qingyuan Jiang
This paper establishes semiorthogonal decompositions for derived Grassmannians of perfect complexes with Tor-amplitude in . This result verifies the author's Quot formula co…
Brill-Noether theory of Hilbert schemes of points on surfaces
Arend Bayer, Huachen Chen, Qingyuan Jiang
We show that Brill--Noether loci in Hilbert scheme of points on a smooth connected surface are non-empty whenever their expected dimension is positive, and that they are irredu…
Derived Grassmannians and derived Schur functors
Qingyuan Jiang
This paper develops two theories, the geometric theory of derived Grassmannians (and flag schemes) and the algebraic theory of derived Schur (and Weyl) functors, and establishes th…
Derived projectivizations of complexes
Qingyuan Jiang
In this paper, we study the counterpart of Grothendieck's projectivization construction in the context of derived algebraic geometry. Our main results are as follows: First, we def…
Derived categories of Quot schemes of locally free quotients
Qingyuan Jiang
This paper studies the derived category of the Quot scheme of rank locally free quotients of a sheaf of homological dimension over a scheme . In partic…
On the Chow theory of Quot schemes of locally free quotients
Qingyuan Jiang
We prove a formula for Chow groups of -schemes which resolve degeneracy loci of a map between vector bundles, under expected dimension conditions. This result provides a unif…
On the Chow theory of projectivizations
Qingyuan Jiang
In this paper, we prove a decomposition result for the Chow groups of projectivizations of coherent sheaves of homological dimension . In this process, we establish the deco…
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…
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…