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math.AG2023
Crystals of relative displays and Calabi-Yau threefolds
Oliver Gregory
Displays can be thought of as relative versions of Fontaine's notion of strongly divisible lattice from integral -adic Hodge theory. In favourable circumstances, the crystalline…
math.AG2023
Motivic cohomology and algebraic -theory of some surfaces over finite fields
Oliver Gregory
We compute the algebraic -theory of some classes of surfaces defined over finite fields. We achieve this by first calculating the motivic cohomology groups and then studying the…