2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.NT2017
On the non commutative Iwasawa main conjecture for abelian varieties over function fields
David Vauclair, Fabien Trihan
We establish the Iwasawa main conjecture for semi-stable abelian varieties over a function field of characteristic under certain restrictive assumptions. Namely we consider …
math.AG2015★ 2 cited
Logarithmic -bases and arithmetical differential modules
Daniel Caro, David Vauclair
We introduce the notion of log -smoothness which weakens that of log-smoothness and that of having locally -bases. We extend Berthelot's construction of arithmetic -module…
math.AG2015
A comparison theorem for semi-abelian schemes over a smooth curve
Fabien Trihan, David Vauclair
We compare flat cohomology with crystalline syntomic complexes in two cases: 1) -divisible groups over a separated -scheme with local finite -bases, 2) semi-abel…