1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.AG2026
Formality for rigid-analytic spaces satisfying the weight-monodromy conjecture
Alexander Petrov, Bogdan Zavyalov
We prove that étale and de Rham cohomology algebras of a smooth proper rigid-analytic space over a finite extension of are formal if the rigid-analytic space satisfi…
math.AG2017★ 1 cited
The Gauss-Manin connection on the periodic cyclic homology
Alexander Petrov, Dmitry Vaintrob, Vadim Vologodsky
It is expected that the periodic cyclic homology of a DG algebra over the field of complex numbers (and, more generally, the periodic cyclic homology of a DG category) carries a lo…