International audienceA special Danielewski surface is an affine surface which is the total space of a principal (C,+)-bundle over an affine line with a multiple origin. Using a fiber product trick introduced by Danielewski, it is known that cylinders over two such surfaces are always isomorphic provided that both bases have the same number of origins. The goal of this note is to give an explicit method to find isomorphisms between cylinders over special Danielewski surfaces. The method is based on the construction of appropriate locally nilpotent derivations
The affine cancellation problem, which asks whether complex affine varieties with isomorphic cylinde...
AbstractThe author proves a structure theorem for one-sided incompressible surfaces in Seifert fiber...
AbstractA well-known cancellation problem asks when, for two algebraic varieties V1,V2⊆Cn, the isomo...
International audienceA special Danielewski surface is an affine surface which is the total space of...
International audienceThe Zariski Cancellation problem for smooth affine surfaces asks whether two s...
Revised version with simplified proofs. A classification of special Danielewski surfaces admitting m...
AbstractIn [L. Makar-Limanov, On groups of automorphisms of a class of surfaces, Israel J. Math. 69 ...
We give a full description of the Lie algebra generated by locally nilpotent derivations (short LNDs...
We describe the set of all locally nilpotent derivations of the quotient ring K[X,Y, Z]/(f (X)Y - ph...
This is a complete version of the paper divided initially in two partsThe celebrated Zariski Cancell...
Dans cette thèse, nous étudions une classe d hypersurfaces de C3, dites hypersurfaces de Danielewski...
We construct families of smooth affine surfaces with pairwise non isomorphic A 1-cylinders but whose...
The Danielewski hypersurfaces are the hypersurfaces X Q,n in $ {\mathbb{C}^3} $ defined by an equati...
Abstract. We show that the generic fiber of a family f: X → S of smooth A1-ruled affine surfaces alw...
We show that the generic fiber of a family of smooth $\mathbb{A}^{1}$-ruled affine surfaces always c...
The affine cancellation problem, which asks whether complex affine varieties with isomorphic cylinde...
AbstractThe author proves a structure theorem for one-sided incompressible surfaces in Seifert fiber...
AbstractA well-known cancellation problem asks when, for two algebraic varieties V1,V2⊆Cn, the isomo...
International audienceA special Danielewski surface is an affine surface which is the total space of...
International audienceThe Zariski Cancellation problem for smooth affine surfaces asks whether two s...
Revised version with simplified proofs. A classification of special Danielewski surfaces admitting m...
AbstractIn [L. Makar-Limanov, On groups of automorphisms of a class of surfaces, Israel J. Math. 69 ...
We give a full description of the Lie algebra generated by locally nilpotent derivations (short LNDs...
We describe the set of all locally nilpotent derivations of the quotient ring K[X,Y, Z]/(f (X)Y - ph...
This is a complete version of the paper divided initially in two partsThe celebrated Zariski Cancell...
Dans cette thèse, nous étudions une classe d hypersurfaces de C3, dites hypersurfaces de Danielewski...
We construct families of smooth affine surfaces with pairwise non isomorphic A 1-cylinders but whose...
The Danielewski hypersurfaces are the hypersurfaces X Q,n in $ {\mathbb{C}^3} $ defined by an equati...
Abstract. We show that the generic fiber of a family f: X → S of smooth A1-ruled affine surfaces alw...
We show that the generic fiber of a family of smooth $\mathbb{A}^{1}$-ruled affine surfaces always c...
The affine cancellation problem, which asks whether complex affine varieties with isomorphic cylinde...
AbstractThe author proves a structure theorem for one-sided incompressible surfaces in Seifert fiber...
AbstractA well-known cancellation problem asks when, for two algebraic varieties V1,V2⊆Cn, the isomo...