Sur l'analyse algébrique II
Sur le Topos infinitésimal -adique d’un schéma lisse I
Afin de disposer des opérations cohomologiques aussi souples que possible pour la cohomologie de de Rham -adique, le but principal de ce mémoire est de résoudre intrinsèquement du point de vue cohomologique le problème des relèvements des schémas lisses et de leurs morphismes de la caractéristique à la caractéristique nulle ce qui a été l’une des difficultés centrales de la théorie de la cohomologie de de Rham des schémas algébriques en caractéristique positive depuis le début. Nous montrons...
Sur les polynomes f(X,Y) tels que K[f] est integralement ferme dans K[X,Y]
Tensor products of symmetric functions over ℤ2
We calculate the homology and the cycles in tensor products of algebras of symmetric function over ℤ2
The Artin algebras associated with differential operators on singular affine curves.
The constants of the Volterra derivation
The ring of constants of the Volterra derivation is found. Confirming a conjecture of Zielinski, it is always a polynomial ring.
The five-variable Volterra system
We give a description of all polynomial constants of the five-variable Volterra derivation, hence of all polynomial first integrals of its corresponding Volterra system of differential equations. The Volterra system plays a significant role in plasma physics and population biology.
The fourteenth problem of Hilbert for polynomial derivations
We present some facts, observations and remarks concerning the problem of finiteness of the rings of constants for derivations of polynomial rings over a commutative ring k containing the field ℚ of rational numbers.
The Kadison problem on a class of commutative Banach algebras with closed cone
The main result of the paper characterizes continuous local derivations on a class of commutative Banach algebra that all of its squares are positive and satisfying the following property: Every continuous bilinear map from into an arbitrary Banach space such that whenever , satisfies the condition for all .
The sixtieth anniversary of the Jacobian Conjecture: a new approach
We investigate an approach of Bass to study the Jacobian Conjecture via the degree of the inverse of a polynomial automorphism over an arbitrary ℚ-algebra.
The torsion problem of H.-J. Reiffen and U. Vetter
Thom-Boardman singularities and monoidal transforms
Tissus du plan et polynômes de Darboux
Dans cet article, nous étudions le problème de l’existence de polynômes de Darboux dans pour la dérivation .
Traces and differential operators over Beilinson completion algebras
Two new types of rings constructed from quasiprime ideals.
Über den Derivationenmodul und das Jacobi-Ideal von Kurvensingularitäten.
Über den Modul der bei einer diskreten Bewertung ganzen Differentiale in einem Körper von Primzahlcharakteristik.
Vertex algebroids over Veronese rings.
Weitzenböck Derivations and Classical Invariant Theory: I. Poincaré Series
2000 Mathematics Subject Classification: 13N15, 13A50, 16W25.By using classical invariant theory approach, formulas for computation of the Poincaré series of the kernel of linear locally nilpotent derivations are found.
Weitzenböck Derivations and Classical Invariant Theory II: The Symbolic Method
2000 Mathematics Subject Classification: 13N15, 13A50, 13F20.An analogue of the symbolic method of classical invariant theory for a representation and manipulation of the elements of the kernel of Weitzenböck derivations is developed.