4 citations · 9 across the 5 of their papers we have counts for
6 papers
Centralizers in Free Group Algebras and Nonsingular Curves
Nikita Miasnikov
The centralizer of any non-scalar element of a free group algebra over a field is the coordinate ring of a nonsingular curve.
Entropy in the category of perfect complexes with cohomology of finite length
Mahdi Majidi-Zolbanin, Nikita Miasnikov
Local and category-theoretical entropies associated with an endomorphism of finite length (i.e., with zero-dimensional closed fiber) of a commutative Noetherian local ring are comp…
Automorphism loci for the moduli space of rational maps
Nikita Miasnikov, Brian Stout, Phillip Williams
Let be an algebraically closed field of characteristic and the moduli space of rational maps on of degree over . This paper describes…
Kunz Regularity Criterion via algebraic entropy
Mahdi Majidi-Zolbanin, Nikita Miasnikov, Lucien Szpiro
In arXiv:1109.6438v1 [math.AG] we introduced and studied a notion of algebraic entropy. In this paper we will give an application of algebraic entropy in proving Kunz Regularity Cr…
Dynamics and entropy in local algebra
Mahdi Majidi-Zolbanin, Nikita Miasnikov, Lucien Szpiro
We introduce and study a notion of algebraic entropy for self-maps of finite length of Noetherian local rings, and develop its properties. We show that it shares the standard prope…
Lifting finite self maps of equicharacteristic complete local rings
Mahdi Majidi-Zolbanin, Nikita Miasnikov, Lucien Szpiro
In the spirit of Fakhruddin (arXiv:math/0212208v1) and Szpiro-Bhatnagar (arXiv:1010.2715v1), we show that for an equicharacteristic complete local ring A, with a given embedding of…