3 papers
math.CA2012
A Characterization of Reduced Forms of Linear Differential Systems
Ainhoa Aparicio-Monforte, Elie Compoint, Jacques-Arthur Weil
A differential system , with is said to be in reduced form if where is the Lie algebra o…
math.CA2010
Stable Flags and the Riemann-Hilbert Problem
Eduardo Corel, Elie Compoint
We tackle the Riemann-Hilbert problem on the Riemann sphere as stalk-wise logarithmic modifications of the classical Röhrl-Deligne vector bundle. We show that the solutions of the…
math.AG2009
Effective descent for differential operators
Elie Compoint, Marius van der Put, Jacques-Arthur Weil
A theorem of N. Katz \cite{Ka} p.45, states that an irreducible differential operator over a suitable differential field , which has an isotypical decomposition over the alg…