4 citations · 5 across the 2 of their papers we have counts for
12 papers · 1 filter
Motives of moduli spaces of bundles on curves via variation of stability and flips
Lie Fu, Victoria Hoskins, Simon Pepin Lehalleur
We study the rational Chow motives of certain moduli spaces of vector bundles on a smooth projective curve with additional structure (such as a parabolic structure or Higgs field).…
Supersingular O'Grady varieties of dimension six
Lie Fu, Zhiyuan Li, Haitao Zou
O'Grady constructed a 6-dimensional irreducible holomorphic symplectic variety by taking a crepant resolution of some moduli space of stable sheaves on an abelian surface. In this…
Categorical polynomial entropy
Yu-Wei Fan, Lie Fu, Genki Ouchi
For classical dynamical systems, the polynomial entropy serves as a refined invariant of the topological entropy. In the setting of categorical dynamical systems, that is, triangul…
On the Betti numbers of compact holomorphic symplectic orbifolds of dimension four
Lie Fu, Grégoire Menet
We extend a result of Guan by showing that the second Betti number of a 4-dimensional primitively symplectic orbifold is at most 23 and there are at most 91 singular points. The ma…
On the motive of O'Grady's ten-dimensional hyper-Kähler varieties
Salvatore Floccari, Lie Fu, Ziyu Zhang
We investigate how the motive of hyper-Kähler varieties is controlled by weight-2 (or surface-like) motives via tensor operations. In the first part, we study the Voevodsky motive…
A motivic global Torelli theorem for isogenous K3 surfaces
Lie Fu, Charles Vial
We prove that the Chow motives of twisted derived equivalent K3 surfaces are isomorphic, not only as Chow motives (due to Huybrechts), but also as Frobenius algebra objects. Combin…