Sylvain Brochard

activity

20092025

most citedFiniteness theorems for the Picard objects of an algebraic stack

15 citations · 39 across the 7 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.AC2016★ 7 cited

Proof of de Smit's conjecture: a freeness criterion

Sylvain Brochard

Let $A \to B$ be a morphism of Artin local rings with the same embedding dimension. We prove that any $A$ -flat $B$ -module is $B$ -flat. This freeness criterion was conjectured by de…

math.AG2016★ 7 cited

Morphisms of 1-motives defined by line bundles

Cristiana Bertolin, Sylvain Brochard

Let $S$ be a normal base scheme. The aim of this paper is to study the line bundles on 1-motives defined over $S$ . We first compute a dévissage of the Picard group of a 1-motive $M…