Sokratis Zikas

collaborators

3 papers

math.AG2025

On Mori dreamness of blowups along space curves

Tiago Duarte Guerreiro, Sokratis Zikas

We study the problem of determining when the blowup $X \to P^{3}$ along a smooth space curve $C$ is a Mori Dream Space. We obtain sufficient conditions, as well obstructions…

math.AG2025

On Gizatullin's Problem for quartic surfaces of Picard rank $2$

Carolina Araujo, Daniela Paiva, Sokratis Zikas

In this paper we determine which automorphisms of general smooth quartic surfaces $S \subset P^{3}$ of Picard rank $2$ are restrictions of Cremona transformations of $\mathbb…

math.AG2025

Umemura Quadric Fibrations and Maximal Subgroups of $C r_{n} (C)$

Enrica Floris, Sokratis Zikas

We study the equivariant geometry of special quadric fibrations, called Umemura quadric fibrations, as well as the maximality of their automorphism groups inside $C r_{n} (C)$ …

On Mori dreamness of blowups along space curves

On Gizatullin's Problem for quartic surfaces of Picard rank 2

Umemura Quadric Fibrations and Maximal Subgroups of Crn​(C)

On Gizatullin's Problem for quartic surfaces of Picard rank $2$

Umemura Quadric Fibrations and Maximal Subgroups of $C r_{n} (C)$