5 citations · 8 across the 5 of their papers we have counts for
6 papers
Compatible systems of -adic sheaves
Quentin Guignard
We introduce a notion of compatibility for families of bounded constructible -adic complexes of étale sheaves on schemes. For schemes of finite…
Geometric local -factors in higher dimensions
Quentin Guignard
We use former results on geometric local -factors over curves in order to prove a factorization result for the determinant of the cohomology of an -adic sheaf ov…
Geometric local epsilon factors
Quentin Guignard
Inspired by the work of Laumon on -factors and by Deligne's letter to Serre, we give an explicit cohomological definition of -factors for -ad…
On the slopes of the lattice of sections of Hermitian line bundles
T. Chinburg, Q. Guignard, C. Soulé
In this paper we study the distribution of successive minima of global sections of powers of a metrized ample line bundle on a variety over a number field. We develop criteria for…
On the ramified class field theory of relative curves
Quentin Guignard
We generalize Deligne's approach to tame geometric class field theory to the case of a relative curve, with arbitrary ramification.
A new proof of Raynaud-Gruson's flattening theorem
Quentin Guignard
We give a new proof of Raynaud-Gruson's theorem regarding flattening by blow-ups. The proof is direct, by working directly on the inverse limit of admissible blow-ups, which is a v…