We develop here the algebra and model theory of the differential field of transseries, a
fascinating mathematical structure obtained by iterating a construction going back more than …

Given an irreducible affine algebraic variety X of dimension n≥ 2, we let SAut (X) denote the
special automorphism group of X, that is, the subgroup of the full automorphism group Aut …

A simple method of constructing a big stock of algebraic varieties with trivial Makar-Limanov
invariant is described, the Derksen invariant of some varieties is computed, the …

This article is a survey on ind-varieties and ind-groups introduced by Shafarevich in 1965,
with a special emphasis on automorphism groups of affine varieties and actions of ind …

A SURVEY ON ZARISKI CANCELLATION PROBLEM Neena Gupta Statistics and Mathematics
Unit, Indian Statistical Institute, 203 BT Ro Page 1 Indian J. Pure Appl. Math., 46(6): 865-877 …

We say that a group acts infinitely transitively on a set if for every the induced diagonal
action of is transitive on the cartesian th power with the diagonals removed. We describe …

Abstract Let X= Spec A be a normal affine variety over an algebraically closed field k of
characteristic 0 endowed with an effective action of a torus T of dimension n. Let also∂ be a …

An irreducible algebraic variety X is rigid if it admits no nontrivial action of the additive group
of the ground field. We prove that the automorphism group of a rigid affine variety contains a …

We study braid varieties and their relation to open positroid varieties. We discuss four
different types of braids associated to open positroid strata and show that their associated …

An affine algebraic variety X of dimension≥ 2 is called flexible if the subgroup SAut (X)⊂
Aut (X) generated by the one-parameter unipotent subgroups acts m-transitively on reg (X) …