A. Trepalin

activity

20112026

most citedMinimal del Pezzo surfaces of degree

2

over finite fields

2 citations · 3 across the 9 of their papers we have counts for

collaborators

14 papers

math.AG2026

On the coregularity of del Pezzo surfaces with du Val singularities

Konstantin Loginov, Andrey Trepalin

We compute the coregularity of del Pezzo surfaces with du Val singularities. To this aim, we study the relation between del Pezzo surfaces of degree $1$ and elliptic fibrations. It…

math.AG2025

Birational geometry of del Pezzo surfaces of degree 4

Constantin Shramov, Andrey Trepalin

It is known that any Mori fiber space birational to a minimal smooth del Pezzo surface $S$ of degree $4$ is either a del Pezzo surface of degree $4$ itself, or a smooth cubic surfa…

math.AG2025

G-coregularity of del Pezzo surfaces

Konstantin Loginov, Victor Przyjalkowski, Andrey Trepalin

We introduce and study the notion of $G$ -coregularity of algebraic varieties endowed with an action of a finite group $G$ . We compute $G$ -coregularity of smooth del Pezzo surfaces…

math.AG2022

Birational classification of pointless del Pezzo surfaces of degree 8

Andrey Trepalin

Let k be a perfect field. Recently J.-L. Colliot-Thélène showed that two pointless quadric surfaces over k are birationally equivalent if and only if they are isomorphic. We show t…

math.AG2021

Quotients of Severi-Brauer surfaces

Andrey Trepalin

We show that a quotient of a non-trivial Severi-Brauer surface $S$ over arbitrary field $k$ of characteristic $0$ by a finite group $G \subset Aut (S)$ is $k$ …

math.AG2019

Quotients of del Pezzo surfaces

Andrey Trepalin

Let $k$ be any field of characteristic zero, $X$ be a del Pezzo surface and $G$ be a finite subgroup in $Aut (X)$ . In this paper we study when the quotient surfac…