Errata et addenda à «Lemmes de zéros dans les groupes algébriques commutatifs»
Every Algebraic Set in n-Space Is the Intersection of n Hypersurfaces.
Exposé on a conjecture of Tougeron
An algebra homomorphism of the locatized affine rings of an algebraic variety is continuous in the Krull topology of the respective local rings. It is not necessarily open or closed in the Krull topology. However, we show that the induced map on the associated analytic local rings is also open and closed in the Krull topology. To do this we prove a conjecture of Tougeron which states that if is an analytic curve on an analytic variety and is a formal power series which is convergent when restricted...
Flat modules in algebraic geometry
Fortsetzung von Spezialisierungen: ein idealtheoretischer Zugang
Galois groups of fields of definition of solvable branched coverings
Ganzalgebraische Punkte und der Hilbertsche Irreduzibilitätssatz.
Géométrie analytique rigide d'après Tate, Kiehl...
Indecomposable projective modules on affine domains
Integrals for holomorphic foliations with singularities having all leaves compact
We show that for a holomorphic foliation with singularities in a projective variety such that every leaf is quasiprojective, the set of rational functions that are constant on the leaves form a field whose transcendence degree equals the codimension of the foliation.
Isolated points on fibers of affinoid varieties.
Konstantenreduktion von Ringen und Moduln.
Le Nullstellensatz de Hilbert et les Polynomes à Valeurs Entières.
Le spectre réel et la topologie des variétés algébriques sur un corps réel clos
Le théorème des zéros en géométries algébrique et analytique réelles
Lemmes de zéros dans les groupes algébriques commutatifs
Lemmes de zéros et nombres transcendants
Logique de la géométrie algébrique
Lokale Algebra und lokale Geometrie.
Manis valuations and Prüfer extensions