Syzygies and Koszul cohomology of smooth projective varieties for arbitrary dimension.
Tangent star cones.
The differential spectrum of a ring
The divisor of the resultant.
The equations of the abelian surfaces embedded in ...4 (...).
The field of definition of the Mordell-Weil group of an elliptic curve over a function field
The singular sets of a complex of modules.
The spectrum associated to a radical operation.
Théorèmes de préparation Gevrey et étude de certaines applications formelles
We consider subrings A of the ring of formal power series. They are defined by growth conditions on coefficients such as, for instance, Gevrey conditions. We prove preparation theorems of Malgrange type in these rings. As a consequence we study maps F from to without constant term such that the rank of the Jacobian matrix of F is equal to 1. Let be a formal power series. If F is a holomorphic map, the following result is well known: ∘ F is analytic implies there exists a convergent power series...
Towards a General Theory of Formally ...-Adic Fields.
Über das Amsterdamer Programm von W. Gröbner und Buchsbaum Varietäten.
Über den regulären Ort bei japanischen lokalen Ringen.
Über die Divisorenklassengruppen lokaler Ringe.
Über disjunktheitseigenschaften und reguläre Tensorprodukte
Über lokale Kohomologiegruppen hoher Ordnung.
Ultrafiltres sur un espace spectral - Anneaux de Baer - Anneaux a spectre minimal compact.
Un modello riducibile per somma diretta d’un dato -modulo localmente libero, con P.E.
Un problème de descente
Un procédé d'élimination effective et quelques applications
À l’aide du Nullstellensatz effectif, on trouve des bornes inférieure et supérieure explicites des valeurs critiques non nulles d’un polynôme, en termes des coefficients de celui-ci.
Une démonstration géométrique du Nullstellensatz analytique complexe