Dimitrii Tyurin

collaborators

3 papers

math.KT2025

Once again on an analogue of the certain Voevodsky theorem

Ivan Panin, Dimitrii Tyurin

Suppose that $F$ is an $A^{1}$ -invariant quasi-stable $Z F_{*}$ -presheaf. Then its Zariski sheafification $F_{Z a r}$ coincides with its Nisnevich sheafification…

math.KT2023

Pfister forms and a conjecture due to Colliot-Thélène in the mixed characteristic case

Ivan Panin, Dimitrii Tyurin

let $R$ be a regular local ring of a mixed characteristic $(0, p)$ where $p \neq = 2$ is a prime number. Suppose that the quotient ring $R / pR$ is also regular. Fix a non-degenerate Pfi…

math.KT2018

Relative Milnor $K$ -groups and differential forms of split nilpotent extensions

Sergey Gorchinskiy, Dimitrii Tyurin

Let $R$ be a commutative ring and $I \subset R$ be a nilpotent ideal such that the quotient $R / I$ splits out of $R$ as a ring. Let $N$ be a natural number such that $I^{N} = 0$ . We es…

Once again on an analogue of the certain Voevodsky theorem

Pfister forms and a conjecture due to Colliot-Thélène in the mixed characteristic case

Relative Milnor K-groups and differential forms of split nilpotent extensions

Relative Milnor $K$ -groups and differential forms of split nilpotent extensions