P. Berthelot

activity

20052012

most citedOn Witt vector cohomology for singular varieties

4 citations · 4 across the 3 of their papers we have counts for

collaborators

4 papers

math.AG2012

Rigid Cohomology and de Rham-Witt complexes

Pierre Berthelot

Let $k$ be a perfect field of characteristic $p > 0$ , $W_{n} = W_{n} (k)$ . For separated $k$ -schemes of finite type, we explain how rigid cohomology with compact supports can be compute…

math.AG2010

Rational points over finite fields for regular models of algebraic varieties of Hodge type $\geq 1$

Pierre Berthelot, Hélène Esnault, Kay Rülling

Let $R$ be a discrete valuation ring of mixed characteristics $(0, p)$ , with finite residue field $k$ and fraction field $K$ , let $k^{'}$ be a finite extension of $k$ , and let $X$ be a…

math.AG2010

A note on Frobenius divided modules in mixed characteristics

Pierre Berthelot

If $X$ is a smooth scheme over a perfect field of characteristic $p$ , and if $\sD_X$ is the sheaf of differential operators on $X$ [EGAIV], it is well known that giving an action o…

math.AG2005★ 4 cited

On Witt vector cohomology for singular varieties

Pierre Berthelot, Spencer Bloch, Hélène Esnault

Over a perfect field $k$ of characteristic $p > 0$ , we construct a ``Witt vector cohomology with compact supports'' for separated $k$ -schemes of finite type, extending (after tenso…

Rigid Cohomology and de Rham-Witt complexes

Rational points over finite fields for regular models of algebraic varieties of Hodge type ≥1

A note on Frobenius divided modules in mixed characteristics

On Witt vector cohomology for singular varieties

Rational points over finite fields for regular models of algebraic varieties of Hodge type $\geq 1$