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
Let X be an affine irreducible variety over an algebraically closed field k of char-acteristic zero....
AbstractBy modifying a construction from Knuset al., we construct all isotropic algebraic groups of ...
AbstractWe prove two conjectures on the automorphism group of a one-dimensional formal group law def...
AbstractWe say that an algebraic group G over a field is anti-affine if every regular function on G ...
"[The first] ten chapters...are an efficient, accessible, and self-contained introduction to affine ...
AbstractNagata’s famous counterexample to Hilbert’s fourteenth problem shows that the ring of invari...
Nagata’s famous counterexample to Hilbert’s fourteenth problem shows that the ring of invariants of ...
A fundamental theorem of Barsotti and Chevalley states that every smooth con-nected algebraic group ...
Abstract Let G be an affine algebraic group acting on an affine variety X. We present an algorithm f...
Let k be an algebraically closed field of arbitrary characteristic p. An affine algebraic group G is...
AbstractLet G be an affine algebraic group acting on an affine variety X. We present an algorithm fo...
Abstract. Let G be a reductive linear algebraic group defined over an algebraically closed base fiel...
It is known that the identity component of the automorphism group of a projective algebraic variety ...
A self-contained introduction to the theory of affine algebraic groups for mathematicians with a bas...
Let k be a number field, G an algebraic group defined over k, and G(k) the group of k-rational point...
Let X be an affine irreducible variety over an algebraically closed field k of char-acteristic zero....
AbstractBy modifying a construction from Knuset al., we construct all isotropic algebraic groups of ...
AbstractWe prove two conjectures on the automorphism group of a one-dimensional formal group law def...
AbstractWe say that an algebraic group G over a field is anti-affine if every regular function on G ...
"[The first] ten chapters...are an efficient, accessible, and self-contained introduction to affine ...
AbstractNagata’s famous counterexample to Hilbert’s fourteenth problem shows that the ring of invari...
Nagata’s famous counterexample to Hilbert’s fourteenth problem shows that the ring of invariants of ...
A fundamental theorem of Barsotti and Chevalley states that every smooth con-nected algebraic group ...
Abstract Let G be an affine algebraic group acting on an affine variety X. We present an algorithm f...
Let k be an algebraically closed field of arbitrary characteristic p. An affine algebraic group G is...
AbstractLet G be an affine algebraic group acting on an affine variety X. We present an algorithm fo...
Abstract. Let G be a reductive linear algebraic group defined over an algebraically closed base fiel...
It is known that the identity component of the automorphism group of a projective algebraic variety ...
A self-contained introduction to the theory of affine algebraic groups for mathematicians with a bas...
Let k be a number field, G an algebraic group defined over k, and G(k) the group of k-rational point...
Let X be an affine irreducible variety over an algebraically closed field k of char-acteristic zero....
AbstractBy modifying a construction from Knuset al., we construct all isotropic algebraic groups of ...
AbstractWe prove two conjectures on the automorphism group of a one-dimensional formal group law def...