1 citations · 1 across the 6 of their papers we have counts for
6 papers
On Mori dreamness of blowups along space curves
Tiago Duarte Guerreiro, Sokratis Zikas
We study the problem of determining when the blowup along a smooth space curve is a Mori Dream Space. We obtain sufficient conditions, as well obstructions…
On Gizatullin's Problem for quartic surfaces of Picard rank
Carolina Araujo, Daniela Paiva, Sokratis Zikas
In this paper we determine which automorphisms of general smooth quartic surfaces of Picard rank are restrictions of Cremona transformations of $\mathbb…
Umemura Quadric Fibrations and Maximal Subgroups of
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 …
Connected algebraic subgroups not lying in a maximal one
Pascal Fong, Sokratis Zikas
We prove that for each , there exists a ruled variety X of dimension n such that Bir(X) contains connected algebraic subgroups which are not lying in a maximal one.
Rigid birational involutions of and cubic threefolds
Sokratis Zikas
We construct families of birational involutions on or a smooth cubic threefold which do not fit into a non-trivial elementary relation of Sarkisov links. As a conseq…
Sarkisov Links with centres space curves on smooth cubic surfaces
Sokratis Zikas
We construct and study Sarkisov links obtained by blowing up smooth space curves lying on smooth cubic surfaces. We restrict our attention to the case where the blowup is not weak…