Exponentielle et modules de Steinberg

Steinberg Modules and Donkin Pairs

We prove that in characteristic p > 0 a module with good filtration for a group of type E6 restricts to a module with good filtration for a group of type F4. Thus we confirm a conjecture of Brundan for one more case. Our method relies on the canonical Frobenius splittings of Mathieu. Next we settle the remaining cases, in characteristic not 2, with a computer-aided variation on the old method o...

Algèbres de distributions et D-modules arithmétiques

Let p be a prime number, V a complete discrete valuation ring of unequal caracteristics (0, p), G a smooth affine algebraic group over Spec V . Using partial divided powers techniques of Berthelot, we construct arithmetic distribution algebras, with level m, generalizing the classical construction of the distribution algebra. We also construct the weak completion of the classical distribution a...

Séparation et propriété de Deligne-Mumford des champs de modules d'intersections complètes lisses

We show that the moduli stacks of smooth complete intersections in P polarized by O(1) are separated (except for quadrics) and Deligne–Mumford (apart from a few exceptions).

Etude preliminaire de l'association de vaccins antiaphteux et antibrucellique

Description de Hyalomma dromedarii (Koch 1844) Morphologie de la larve et de la nymphe