54 citations · 70 across the 11 of their papers we have counts for
11 papers
Rational points of varieties with ample cotangent bundle over function fields of positive characteristic
Henri Gillet, Damian Rössler
Let be the function field of a smooth curve over an algebraically closed field . Let be a scheme, which is smooth and projective over . Suppose that the cotangent bun…
On the arithmetic Chern character
H. Gillet, C. Soule
We consider a short sequence of hermitian vector bundles on some arithmetic variety. Assuming that this sequence is exact on the generic fiber we prove that the alternated sum of t…
Parameterized Picard-Vessiot extensions and Atiyah extensions
Henri Gillet, Sergey Gorchinskiy, Alexey Ovchinnikov
Generalizing Atiyah extensions, we introduce and study differential abelian tensor categories over differential rings. By a differential ring, we mean a commutative ring with an ac…
Arithmetic Intersection Theory on Deligne-Mumford Stacks
Henri Gillet
The arithmetic Chow groups and their product structure are extended from the category of regular arithmetic varieties to regular Deligne-Mumford stacks over the ring of integers in…
Motivic Weight Complexes for Arithmetic Varieties
Henri Gillet, Christophe Soulé
We associate weight complexes of (homological) motives, and hence Euler characteristics in the Grothendieck group of motives, to arithmetic varieties and Deligne-Mumford stacks; th…
An arithmetic Riemann-Roch theorem in higher degrees
Henri Gillet, Damian Rössler, C. Soulé
We prove an analogue in Arakelov geometry of the Grothendieck-Riemann-Roch theorem.