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math.AG2026
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…
math.AG2024
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…