Classification of Nash manifolds
A semi-algebraic analytic manifold and a semi-algebraic analytic map are called a Nash manifold and a Nash map respectively. We clarify the category of Nash manifolds and Nash maps.
Closure Theorem for Partially Semialgebraic Sets
In 1988 it was proved by the first author that the closure of a partially semialgebraic set is partially semialgebraic. The essential tool used in that proof was the regular separation property. Here we give another proof without using this tool, based on the semianalytic L-cone theorem (Theorem 2), a semianalytic analog of the Cartan-Remmert-Stein lemma with parameters.
Cohérence de certaines images directes à supports propres dans le cas d’un morphisme fortement -convexe
Cohomologically complete and pseudoconvex domains.
Cohomologically insignificant degenerations
Cohomologietheorie mit Schranken für pseudokonvexe und pseudokonkave komplexe Räume.
Cohomology groups of sheaves SεL and splitness of Dolbeault complexes of sheaves
Cohomology of local systems on the complement of hyperplanes.
Cohomology of local systems on the complement of hyperplanes (Erratum).
Cohomology with bounds and Carleman estimates for the -operator on Stein manifolds.
Cohomology with -bounds on polycylinders.
Coleff-Herrera currents, duality, and noetherian operators
Let be a coherent subsheaf of a locally free sheaf and suppose that has pure codimension. Starting with a residue current obtained from a locally free resolution of we construct a vector-valued Coleff-Herrera current with support on the variety associated to such that is in if and only if . Such a current can also be derived algebraically from a fundamental theorem of Roos about the bidualizing functor, and the relation between these two approaches is discussed. By a construction...
Compact Varieties of Surjective Holomorphic Endomorphisms.
Compact Varieties of Surjective Holomorphic Mappings.
Compactifications kähleriennes de voisinages ouverts de cycles géométriquement positifs
Comparaison des facteurs duaux des isocristaux surconvergents
Comparing modules of differential operators by their evaluation on polynomials
Complements of domains with respect to hulls of outside compact sets.
Complete Characterization of Holomorphic Chains of Codimension One.
Complete Intersections in Stein Manifolds.