5 papers
Non-liftable varieties via etale cohomology rings
Runjie Hu, Siqing Zhang
We construct a smooth projective variety in positive characteristic whose -coefficient etale cohomology ring is not the scalar extension of any graded $\mathbb{Q…
Object-IR: Leveraging Object Consistency and Mesh Deformation for Self-Supervised Image Retargeting
Tianli Liao, Ran Wang, Siqing Zhang +5
Eliminating geometric distortion in semantically important regions remains an intractable challenge in image retargeting. This paper presents Object-IR, a self-supervised architect…
Formal Manifold Structures on Positive Characteristic Varieties
Runjie Hu, Siqing Zhang
In his 1970 ICM report, Sullivan proposes the program of l-adic formalization of the concept of manifolds. In this program, he claims that smooth positive characteristic varieties…
A necessary condition for liftings of positive characteristic varieties with finite fundamental groups
Ruida Di, Runjie Hu, Siqing Zhang
In this paper, we introduce a necessary condition for the existence of characteristic zero liftings of certain smooth, proper varieties in positive characteristic, using etale homo…
Topology of -actions and applications to the moduli of Higgs bundles
Andres Fernandez Herrero, Siqing Zhang
We explain some results concerning the topology of varieties and stacks equipped with an action of the multiplicative group . We apply these techniques to the moduli…