affine open subsets in \mathbb{A}^{3} without the cancellation property

We construct explicit embeddings of generalized Danielewski surfaces [5] in affine spaces.. The equations defining these embeddings are obtain from the 2×2 minors of a matrix

algebraic families of exotic 3 -spheres over punctured contractible surfaces In this section, we construct algebraic families of affine 3-spheres in the form of locally trivial A

We first improve a result of [3] by showing that Laurent Cancellation does hold for all smooth affine surfaces of negative Kodaira dimension, and then construct explicit

In [7, 8], Lenart and Postnikov introduced the notion of admissible subset in order to compute the product s τ s µ where λ, µ ∈ P + , see Theorem 6.3. In this section we explain

[1] K. Adaricheva, Join-semidistributive lattices of relatively convex sets, Chajda, I. Arbeitstagung Allgemeine Algebra”, Olomouc, Czech Republic, May 30-June 2, 2002 and of the

The Finsler spaces which still admit metric linear connections in the tangent bundle of the base manifold enjoy a special interest, and are called generalized Berwald spaces.. If such

On the other hand, since algebraic G a -actions lift under finite étale covers (see e.g. Proposition 10), it turns out that it is fibered in a natural way by A 1 -ruled affine

As another application, we answer in § 3.3 a question raised by Freudenburg [8] concerning the structure of locally nilpotent derivations with a slice on polynomial rings in