11 citations · 17 across the 4 of their papers we have counts for
4 papers
Local dimension of differential algebraic variety
Dima Trushin
We consider a relation between local and global characteristics of a differential algebraic variety. We prove that dimension of tangent space for every regular point of an irreduci…
Difference Nullstellensatz in the case of finite group
Dima Trushin
We develop a geometric theory for difference equations with a given group of automorphisms. To solve this problem we extend the class of difference fields to the class of absolutel…
Inheritance of Properties of Spectra
Dima Trushin
A mechanism for the inheritance of properties of spectra by differential spectra is developed and applied to prove geometric properties of morphisms of differential algebraic varie…
Global sections of structure sheaves of Keigher rings
Dima Trushin
Answering a question of J.~Kovacic, we show that, for any Keigher ring, its differential spectrum coincides with the differential spectrum of the ring of global sections of the str…