A. Trepalin

activity

20152021

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5 papers · 1 filter

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…

math.AG2018

Inverse Galois problem for del Pezzo surfaces over finite fields

Daniel Loughran, Andrey Trepalin

We completely solve the inverse Galois problem for del Pezzo surfaces of degree $2$ and $3$ over all finite fields.

math.AG2018

Del Pezzo surfaces over finite fields

Andrey Trepalin

Let $X$ be a del Pezzo surface of degree $2$ or greater over a finite field $F_{q}$ . The image $Γ$ of the Galois group $\operatorname{Gal}(\overline{\mathbb{F}}_q / \mathbb{…

math.AG2015

Quotients of cubic surfaces

Andrey Trepalin

Let $k$ be any field of characteristic zero, $X$ be a cubic surface in $P_{k}^{3}$ and $G$ be a group acting on $X$ . We show that if $X (k) \neq = \emptyset$ and $…