3 papers
math.AG2018
Orders that are Étale-Locally Isomorphic
Eva Bayer-Fluckiger, Uriya A. First, Mathieu Huruguen
Let be a semilocal Dedekind domain with fraction field . We show that two hereditary -orders in central simple -algebras which become isomorphic after tensoring with $…
math.AG2014
Special reductive groups over an arbitrary field
Mathieu Huruguen
A linear algebraic group G defined over a field k is called special if every G-torsor over every field extension of k is trivial. In 1958 Grothendieck classified special groups in…
math.AG2009
Toric varieties and spherical embeddings over an arbitrary field
Mathieu Huruguen
We are interested in two classes of varieties with group action, namely toric varieties and spherical embeddings. They are classified by combinatorial objects, called fans in the t…