12 citations · 38 across the 7 of their papers we have counts for
10 papers
Quasi-projective and formal-analytic arithmetic surfaces
Jean-Benoît Bost, François Charles
This memoir is devoted to the study of formal-analytic arithmetic surfaces. These are arithmetic counterparts, in the context of Arakelov geometry, of germs of smooth complex-analy…
Euclidean lattices, theta invariants, and thermodynamic formalism
Jean-Benoît Bost
These are the notes of lectures delivered at Grenoble's summer school on \emph{Arakelov Geo\-me\-try and Diophantine Applications}, in June 2017. They constitute an introduction to…
Theta invariants of euclidean lattices and infinite-dimensional hermitian vector bundles over arithmetic curves
Jean-Benoît Bost
In this monograph, we lay some foundations of a theory of infinite dimensional Euclidean lattices - and more generally, of infinite dimensional Hermitian vector bundles over some "…
Simply connected varieties in characteristic
Hélène Esnault, Vasudevan Srinivas
We show that there are no non-trivial stratified bundles over a smooth simply connected quasi-projective variety over the algebraic closure of a finite field, if the variety admits…
Some remarks concerning the Grothendieck Period Conjecture
Jean-Benoît Bost, François Charles
We discuss various results and questions around the Grothendieck period conjecture, which is a counterpart, concerning the de Rham-Betti realization of algebraic varieties over num…
Algebraization, transcendence, and D-group schemes
Jean-Benoit Bost
We present a conjecture in Diophantine geometry concerning the construction of line bundles over smooth projective varieties over $\bar{\mathbb Q}}$. This conjecture, closely relat…