49 citations · 138 across the 18 of their papers we have counts for
20 papers
Generalized Bogomolov--Gieseker inequalities via Frobenius
Chunyi Li, Zhiyu Liu, Alexander Perry +1
We establish a Bogomolov--Gieseker-type inequality for tilt-semistable objects on smooth projective varieties of dimension , in the spirit of the Bayer--Macrì--Toda conject…
Stability conditions and moduli spaces on projective families
Chunyi Li, Zhiyu Liu, Ziqi Liu +4
We extend the construction of stability conditions on projective schemes over a field to projective families over an arbitrary base, and prove that they admit proper relative modul…
Stability conditions on products of curves and Hilbert schemes of surfaces
Chunyi Li, Emanuele Macrì, Alexander Perry +2
We prove that stability conditions on the derived category of a product of curves of positive genus are uniquely determined by their central charge and the phase of skyscraper shea…
Higher dimensional moduli spaces on Kuznetsov components of Fano threefolds
Chunyi Li, Yinbang Lin, Laura Pertusi +1
We study moduli spaces of stable objects in the Kuznetsov components of Fano threefolds. We prove a general non-emptiness criterion for moduli spaces, which applies to the cases of…
Fully faithful functors, skyscraper sheaves, and birational equivalence
Chunyi Li, Xun Lin, Xiaolei Zhao
Let and be two smooth projective varieties such that there is a fully faithful exact functor from to . We show that and …
Derived categories of hearts on Kuznetsov components
Chunyi Li, Laura Pertusi, Xiaolei Zhao
We prove a general criterion which guarantees that an admissible subcategory of the derived category of an abelian category is equivalent to the bounded derived categ…
A Refined Derived Torelli Theorem for Enriques surfaces, II: the non-generic case
Chunyi Li, Paolo Stellari, Xiaolei Zhao
We prove that two Enriques surfaces defined over an algebraically closed field of characteristic different from are isomorphic if their Kuznetsov components are equivalent. Thi…
Stability manifolds of varieties with finite Albanese morphisms
Lie Fu, Chunyi Li, Xiaolei Zhao
For a smooth projective complex variety whose Albanese morphism is finite, we show that every Bridgeland stability condition on its bounded derived category of coherent sheaves is…
Elliptic quintics on cubic fourfolds, O'Grady 10, and Lagrangian fibrations
Chunyi Li, Laura Pertusi, Xiaolei Zhao
For a smooth cubic fourfold Y, we study the moduli space M of semistable objects of Mukai vector in the Kuznetsov component of Y. We show that with a certain choice of…
Contractibility of space of stability conditions on the projective plane via global dimension function
Yu-Wei Fan, Chunyi Li, Wanmin Liu +1
We compute the global dimension function on the principal component of the space of Bridgeland stability conditions on $\mathbb{P}^…
A refined Derived Torelli Theorem for Enriques surfaces
Chunyi Li, Howard Nuer, Paolo Stellari +1
We prove that two general Enriques surfaces defined over an algebraically closed field of characteristic different from are isomorphic if their Kuznetsov components are equival…
Higher rank Clifford indices of curves on a K3 surface
Soheyla Feyzbakhsh, Chunyi Li
Let be a polarized K3 surface with , and let be a smooth curve of genus . We give an upper bound on the dimension of global sec…
On stability conditions for the quintic threefold
Chunyi Li
We study the Clifford type inequality for a particular type of curves , which are contained in smooth quintic threefolds. This allows us to prove some stronger Bogomolov…
Twisted cubics on cubic fourfolds and stability conditions
Chunyi Li, Laura Pertusi, Xiaolei Zhao
We give an interpretation of the Fano variety of lines on a cubic fourfold and of the hyperkahler eightfold, constructed by Lehn, Lehn, Sorger and van Straten from twisted cubic cu…
Brill-Noether theory for curves on generic abelian surfaces
Arend Bayer, Chunyi Li
We completely describe the Brill-Noether theory for curves in the primitive linear system on generic abelian surfaces, in the following sense: given integers and , consider…
Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfaces
Chunyi Li, Xiaolei Zhao
Let X be a projective smooth holomorphic Poisson surface, in other words, whose anti-canonical divisor is effective. We show that moduli spaces of certain Bridgeland stable objects…
The Space of Stability Conditions on the Projective Plane
Chunyi Li
The space of Bridgeland stability conditions on the bounded derived category of coherent sheaves on P2 has a principle connected component Stab^†(P2). We show that Stab^†(P2) is th…
Birational models of moduli spaces of coherent sheaves on the projective plane
Chunyi Li, Xiaolei Zhao
We study the birational geometry of moduli spaces of semistable sheaves on the projective plane via Bridgeland stability conditions. We show that the entire MMP of their moduli spa…
Stability conditions on Fano threefolds of Picard number one
Chunyi Li
We prove the conjectural Bogomolov-Gieseker type inequality for tilt slope stable objects on each Fano threefold X of Picard number one. Based on the previous works on Bridgeland s…
The MMP for deformations of Hilbert schemes of points on the projective plane
Chunyi Li, Xiaolei Zhao
We study the birational geometry of deformations of Hilbert schemes of points on the projective plane P2. We complete the picture in the paper of Daniele Arcara, Aaron Bertram, Izz…