AbstractAn affine pseudo-covering f:Y→X of smooth affine varieties is an étale morphism whose image contains all codimension one points of X. If f splits an étale endomorphism φ:X→X as φ=f⋅g with a dominant morphism g:X→Y, then f and g are affine pseudo-coverings under some additional conditions which are satisfied when X is the affine n-space An. Motivated by the Jacobian problem, we consider an affine pseudo-coverings in the case where Y or X is isomorphic to the affine plane A2
We will show that for every affine ireducible variety X of dimension at least two, there exists an a...
16 pages ; one proof correctedGiven a morphism between complex projective varieties, we make several...
AbstractIn this paper, we address the following two general problems: given two algebraic varieties ...
AbstractAn affine pseudo-covering f:Y→X of smooth affine varieties is an étale morphism whose image ...
An affine manifold is a manifold with a distinguished system of affine coordinates, namely, an open ...
We consider an analogue of the Zariski topology over a division ring $(D,\sigma,\delta)$ equipped wi...
This note is related to the following two basic problems in Algebraic Geometry. PROBLEM A. Topologic...
Let X be a smooth affine surface, X \u2192 G2 m be a finite morphism. We study the affine curves on ...
A fine moduli space (see Chapter 2 Definition 28) is constructed, for cyclic-by-p covers of an affin...
For constructing un ramified coverings of the affine line in characteristicp, a general theorem abou...
The celebrated Zariski Cancellation Problem asks as to when the existence of an isomorphism $X\times...
We determine all homogeneous pseudo-embeddings of the affine space AG(n, 4) and the projective space...
AbstractThe aim of this paper is to prove a generalization of a theorem of Rao for families of space...
The aim of these notes is to give a concise introduction to the classical notions of points and morp...
AbstractA well-known theorem of Alexander [1] says that every orientable surface is a branched cover...
We will show that for every affine ireducible variety X of dimension at least two, there exists an a...
16 pages ; one proof correctedGiven a morphism between complex projective varieties, we make several...
AbstractIn this paper, we address the following two general problems: given two algebraic varieties ...
AbstractAn affine pseudo-covering f:Y→X of smooth affine varieties is an étale morphism whose image ...
An affine manifold is a manifold with a distinguished system of affine coordinates, namely, an open ...
We consider an analogue of the Zariski topology over a division ring $(D,\sigma,\delta)$ equipped wi...
This note is related to the following two basic problems in Algebraic Geometry. PROBLEM A. Topologic...
Let X be a smooth affine surface, X \u2192 G2 m be a finite morphism. We study the affine curves on ...
A fine moduli space (see Chapter 2 Definition 28) is constructed, for cyclic-by-p covers of an affin...
For constructing un ramified coverings of the affine line in characteristicp, a general theorem abou...
The celebrated Zariski Cancellation Problem asks as to when the existence of an isomorphism $X\times...
We determine all homogeneous pseudo-embeddings of the affine space AG(n, 4) and the projective space...
AbstractThe aim of this paper is to prove a generalization of a theorem of Rao for families of space...
The aim of these notes is to give a concise introduction to the classical notions of points and morp...
AbstractA well-known theorem of Alexander [1] says that every orientable surface is a branched cover...
We will show that for every affine ireducible variety X of dimension at least two, there exists an a...
16 pages ; one proof correctedGiven a morphism between complex projective varieties, we make several...
AbstractIn this paper, we address the following two general problems: given two algebraic varieties ...
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