63 citations · 122 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
Kato conjecture and motivic cohomology over finite fields
Uwe Jannsen, Shuji Saito
For an arithmetical scheme X, K. Kato introduced a certain complex of Gersten-Bloch-Ogus type whose component in degree a involves Galois cohomology groups of the residue fields of…
Étale duality for constructible sheaves on arithmetic schemes
Uwe Jannsen, Shuji Saito, Kanetomo Sato
In this note we relate three topics for arithmetic schemes: a general duality for étale constructible torsion sheaves, an étale homology theory, and a Gersten-Bloch-Ogus-Kato compl…
Hasse principles for higher-dimensional fields
Uwe Jannsen
For schemes X over global or local fields, or over their rings of integers, K. Kato stated several conjectures on certain complexes of Gersten-Bloch-Ogus type, generalizing the fun…
Canonical embedded and non-embedded resolution of singularities for excellent two-dimensional schemes
Vincent Cossart, Uwe Jannsen, Shuji Saito
We prove the existence of resolution of singularities for arbitrary (not necessarily reduced or irreducible) excellent two-dimensional schemes, via permissible blow-ups. The resolu…