activity
20132023
most citedComparison between rigid syntomic and crystalline syntomic cohomology for strictly semistable log schemes with boundary

5 citations · 19 across the 11 of their papers we have counts for

collaborators

13 papers

math.AG2023

On the -Picard group of Stein spaces

Veronika Ertl, Sally Gilles, Wiesława Nizioł

We study the image of the Hodge-Tate logarithm map (in any cohomological degree), defined by Heuer, in the case of smooth Stein varieties. Heuer, motivated by the computations for…

math.NT2021

Integral p-adic cohomology theories for open and singular varieties

Veronika Ertl, Atsushi Shiho, Johannes Sprang

For open and singular varieties in positive characteristic p we study the existence of an integral p-adic cohomology theory which is finitely generated, compatible with log crystal…

math.AG2020

Poincaré duality for rigid analytic Hyodo--Kato theory

Veronika Ertl, Kazuki Yamada

The purpose of this paper is to establish Hyodo--Kato theory with compact support for semistable schemes through rigid analytic methods. To this end we introduce several types of l…

math.NT2019★ 3 cited

Rigid analytic reconstruction of Hyodo--Kato theory

Veronika Ertl, Kazuki Yamada

We give a new and very intuitive construction of Hyodo--Kato cohomology and the Hyodo--Kato map, based on logarithmic rigid cohomology. We show that it is independent of the choice…

math.NT2018★ 2 cited

On infiniteness of integral overconvergent de Rham-Witt cohomology modulo torsion

Veronika Ertl, Atsushi Shiho

In this article, we give examples of smooth varieties of positive characteristic whose first integral overconvergent de Rham-Witt cohomology modulo torsion is not finitely generate…

math.NT2018★ 2 cited

A new proof of a vanishing result due to Berthelot, Esnault, and Rülling

Veronika Ertl

The goal of this small note is to give a more concise proof of a result due to Berthelot, Esnault, and Rülling. For a regular, proper, and flat scheme over a discrete valuation…

math.NT2018★ 5 cited

Comparison between rigid syntomic and crystalline syntomic cohomology for strictly semistable log schemes with boundary

Veronika Ertl, Kazuki Yamada

We introduce rigid syntomic cohomology for strictly semistable log schemes over a complete discrete valuation ring of mixed characteristic (0,p). In case a good compactification ex…

math.AG2017★ 1 cited

Integral Comparison of Monsky-Washnitzer and overconvergent de Rham-Witt cohomology

Veronika Ertl, Johannes Sprang

The goal of this small note is to extend a result by Christopher Davis and David Zureick-Brown on the comparison between integral Monsky-Washnitzer cohomology and overconvergent de…

math.AC2017

Witt differentials in the h-topology

Veronika Ertl, Lance Edward Miller

Recent important and powerful frameworks for the study of differential forms by Huber-Joerder and Huber-Kebekus-Kelly based on Voevodsky's h-topology have greatly simplified and un…

math.AG2016★ 2 cited

Syntomic cohomology and -adic motivic cohomology

Veronika Ertl, Wieslawa Niziol

We prove a mixed characteristic analog of the Beilinson-Lichtenbaum Conjecture for p-adic motivic cohomology. It gives a description, in the stable range, of p-adic motivic cohomol…

math.NT2014

Full faithfulness for overconvergent F-de Rham-Witt connections

Veronika Ertl

Let X be a smooth variety over a perfect field of characteristic p>0. In this small note we define overconvergent F-de Rham-Witt connections as an analogue for F-crystals over prop…

math.NT2013★ 2 cited

Comparison between Rigid and Overconvergent Cohomology with Coefficients

Veronika Ertl

For a smooth scheme over a perfect field of characteristic p>0, we generalise a definition of Bloch and introduce overconvergent de Rham-Witt connections. This provides a tool to e…

math.NT2013★ 2 cited

Overconvergent Chern Classes and Higher Cycle Classes

Veronika Ertl

The goal of this work is to construct integral Chern classes and higher cycle classes for a smooth variety over a perfect field of characteristic p>0 that are compatible with the r…