de rham cohomology 1étale cohomology 1formality 1rigid-analytic spaces 1smooth proper varieties 1weight-monodromy conjecture 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AG2026
Formality for rigid-analytic spaces satisfying the weight-monodromy conjecture
Alexander Petrov, Bogdan Zavyalov
The paper proves that the étale and de Rham cohomology algebras of a smooth proper rigid‑analytic space over a p‑adic field are formal whenever the space satisfies the weight‑monod…
math.AG2025
Non-decomposability of the de Rham complex and non-semisimplicity of the Sen operator
Alexander Petrov
We describe the obstruction to decomposing in degrees the de Rham complex of a smooth variety over a perfect field of characteristic that lifts over , and…
math.AG2025
Hodge numbers are not derived invariants in positive characteristic
Nicolas Addington, Daniel Bragg
We study a pair of Calabi-Yau threefolds X and M, fibered in non-principally polarized Abelian surfaces and their duals, and an equivalence D^b(X) = D^b(M), building on work of Gro…