A Generalization of Kodaira's Embedding Theorem.
A Note on Geometric Degree of Finite Extensions of Mappings from a Smooth Variety
A result on -flats in
Action du groupe additif
An injective rational map of an abstract algebraic variety into itself.
Approximation of holomorphic maps by algebraic morphisms
Let X be a nonsingular complex algebraic curve and let Y be a nonsingular rational complex algebraic surface. Given a compact subset K of X, every holomorphic map from a neighborhood of K in X into Y can be approximated by rational maps from X into Y having no poles in K. If Y is a nonsingular projective complex surface with the first Betti number nonzero, then such an approximation is impossible.
Cancellation Problem of Complete Varieties.
Challenging problems on affine -space
Commuting varieties of semisimple Lie algebras and algebraic groups
Complete Kähler-Einstein Metrics on Bounded Domains Locally of Finite Volume at Some Boundary Points.
Critical Points of an Algebraic Function.
Der Führer einer Gorensteinvarietät.
Der Hilbertsche Irreduzibilitätssatz und Primzahlfragen.
Endomorphisms of symbolic algebraic varieties
The theorem of Ax says that any regular selfmapping of a complex algebraic variety is either surjective or non-injective; this property is called surjunctivity and investigated in the present paper in the category of proregular mappings of proalgebraic spaces. We show that such maps are surjunctive if they commute with sufficiently large automorphism groups. Of particular interest is the case of proalgebraic varieties over infinite graphs. The paper intends to bring out relations between model theory,...
For a Nonclosing Field, Every Algebraic Variety is a Hypersurface, or All of Space.
For a Nonclosing Field, Every Algebraic Variety is a Hypersurface, or All of Space. (Short Communication).
General algebraic geometry and formal concept analysis.
Injective endomorphisms of algebraic varieties.
Irreducible algebraic sets of matrices with dominant restriction of the characteristic map
We collect certain useful lemmas concerning the characteristic map, -invariant sets of matrices, and the relative codimension. We provide a characterization of rank varieties in terms of the characteristic map as well as some necessary and some sufficient conditions for linear subspaces to allow the dominant restriction of the characteristic map.
Isomorphisms between left and right adjoints.