A. Petrov

activity

20172026

p

-adic local systems are de Rham up to a twist

9 citations · 18 across the 8 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.AG2020★ 9 cited

Geometrically irreducible $p$ -adic local systems are de Rham up to a twist

Alexander Petrov

We prove that any geometrically irreducible $Q_{p}$ -local system on a smooth algebraic variety over a $p$ -adic field $K$ becomes de Rham after a twist by a charac…

math.AG2020★ 2 cited

Rigid-analytic varieties with projective reduction violating Hodge symmetry

Alexander Petrov

We construct examples of smooth proper rigid-analytic varieties admitting formal model with projective special fiber and violating Hodge symmetry for cohomology in degrees $\geq 3$ …

Geometrically irreducible p-adic local systems are de Rham up to a twist

Rigid-analytic varieties with projective reduction violating Hodge symmetry

Geometrically irreducible $p$ -adic local systems are de Rham up to a twist