AbstractWe say that an algebraic group G over a field is anti-affine if every regular function on G is constant. We obtain a classification of these groups, with applications to the structure of algebraic groups in positive characteristics, and to the construction of many counterexamples to Hilbert's fourteenth problem
We study families of reductive group actions on A2 parametrized by curves and show that every faithf...
『Vorlesungen aus dem Fachbereich Mathematik der Universitat Essen Heft 19』(1990年) p.1-162所収。Keyword:...
AbstractIt is shown that the commutator subgroup of the fundamental group of a smooth irreducible af...
AbstractWe say that an algebraic group G over a field is anti-affine if every regular function on G ...
AbstractWe classify principal bundles over anti-affine schemes with affine and commutative structure...
The first part of this paper is a refinement of Winkelmann’s work on invariant rings and quotients o...
Considering a certain construction of algebraic varieties $X$ endowed with an algebraic action of th...
AbstractLet G be an affine algebraic group acting on an affine variety X. We present an algorithm fo...
Let X be an affine irreducible variety over an algebraically closed field k of characteristic zero. ...
We show that every algebraic group scheme over a field with at least 8 elements can be realized as t...
AbstractGiven a connected algebraic group G over an algebraically closed field and a G-homogeneous s...
We prove that an algebraic group over a field $k$is affine precisely when its Picard group is torsio...
Our base field is the field ℂ of complex numbers. We study families of reductive group actions on $$...
A fundamental theorem of Barsotti and Chevalley states that every smooth con-nected algebraic group ...
AbstractLet G be a simple simply connected algebraic group of type B2 over an algebraically closed f...
We study families of reductive group actions on A2 parametrized by curves and show that every faithf...
『Vorlesungen aus dem Fachbereich Mathematik der Universitat Essen Heft 19』(1990年) p.1-162所収。Keyword:...
AbstractIt is shown that the commutator subgroup of the fundamental group of a smooth irreducible af...
AbstractWe say that an algebraic group G over a field is anti-affine if every regular function on G ...
AbstractWe classify principal bundles over anti-affine schemes with affine and commutative structure...
The first part of this paper is a refinement of Winkelmann’s work on invariant rings and quotients o...
Considering a certain construction of algebraic varieties $X$ endowed with an algebraic action of th...
AbstractLet G be an affine algebraic group acting on an affine variety X. We present an algorithm fo...
Let X be an affine irreducible variety over an algebraically closed field k of characteristic zero. ...
We show that every algebraic group scheme over a field with at least 8 elements can be realized as t...
AbstractGiven a connected algebraic group G over an algebraically closed field and a G-homogeneous s...
We prove that an algebraic group over a field $k$is affine precisely when its Picard group is torsio...
Our base field is the field ℂ of complex numbers. We study families of reductive group actions on $$...
A fundamental theorem of Barsotti and Chevalley states that every smooth con-nected algebraic group ...
AbstractLet G be a simple simply connected algebraic group of type B2 over an algebraically closed f...
We study families of reductive group actions on A2 parametrized by curves and show that every faithf...
『Vorlesungen aus dem Fachbereich Mathematik der Universitat Essen Heft 19』(1990年) p.1-162所収。Keyword:...
AbstractIt is shown that the commutator subgroup of the fundamental group of a smooth irreducible af...
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