A homological characterization of local complete intersections
Conservation of the noetherianity by perfect transcendental field extensions.
Cycles of distance-decreasing mappings in the ring of n-adic integers
We give a description of possible sets of cycle lengths for distance-decreasing maps and isometries of the ring of n-adic integers.
Images directes I : Espaces rigides analytiques et images directes
Cet article est le premier d’une série de trois articles consacrés aux images directes d’isocristaux : ici nous considérons des isocristaux sans structure de Frobenius ; dans le deuxième [Et 6] (resp. le troisième [Et 7]), nous introduirons une structure de Frobenius dans le contexte convergent (resp. surconvergent).Pour un morphisme propre et lisse relevable nous établissons la surconvergence des images directes, grâce à un théorème de changement de base pour un morphisme propre entre espaces rigides...
Independence in Completions and Endomorphism Algebras.
Iterative differentiations in rings of unequal characteristic
Sia un anello di caratteristica diseguale. Si stabiliscono formule generali per gli endomorfismi di una differenziazione o -iterativa di , con non zerodivisore di R. Tali formule sono note nel caso della caratteristica eguale.
Orbit-cone correspondence for the proalgebraic completion of normal toric varieties
We prove that there is an orbit-cone correspondence for the proalgebraic completion of normal toric varieties, which is analogous to the classical orbit-cone correspondence for toric varieties.
Relations between localizations and -adic completions in commutative domains
Separable -free modules with almost trivial dual
An -module has an almost trivial dual if there are no epimorphisms from to the free -module of countable infinite rank . For every natural number , we construct arbitrarily large separable -free -modules with almost trivial dual by means of Shelah’s Easy Black Box, which is a combinatorial principle provable in ZFC.
The quasi-real extension of the real numbers
Traces and differential operators over Beilinson completion algebras
Un problème de descente
Кольца с дискретной группой классов дивизоров