63 citations · 122 across the 9 of their papers we have counts for
11 papers · 1 filter
Invariance of Hironaka's characteristic polyhedron
Vincent Cossart, Uwe Jannsen, Bernd Schober
We show that given a face of Hironaka's characteristic polyhedron, it does only depend on the singularity and a flag defined by the linear form determining the face. As a consequen…
Duality for relative logarithmic de Rham-Witt sheaves and wildly ramified class field theory over finite fields
Uwe Jannsen, Shuji Saito, Yigeng Zhao
In order to study -adic étale cohomology of an open subvariety of a smooth proper variety over a perfect field of characteristic , we introduce new -primary tors…
Rigidity theorems for K- and H-cohomology and other functors
Uwe Jannsen
Suslin proved that for an extension K/k of algebraically closed fields the induced maps K_m(k)[n] --> K_m(K)[n] and K_m(k)/n ---> K_m(K)/n for the higher K-groups are isomorphisms,…
Frobenius gauges and a new theory of p-torsion sheaves in characteristic p. I
Jean-Marc Fontaine, Uwe Jannsen
We develop a new cohomology theory in characteristic p>0, the so called F-gauge cohomology, a cohomology with values in the category of so-called F-gauges, which refines the crista…
Weights in arithmetic geometry
Uwe Jannsen
The concept of weights on the cohomology of algebraic varieties was initiated by fundamental ideas and work of A. Grothendieck and P. Deligne. It is deeply connected with the conce…
Bertini theorems and Lefschetz pencils over discrete valuation rings, with applications to higher class field theory
Uwe Jannsen, Shuji Saito
We show the existence of good hyperplane sections for schemes over discrete valuation rings with good or (quasi) semistable reduction, and the existence of good Lefschetz pencils f…