6 citations · 13 across the 3 of their papers we have counts for
7 papers
Automorphisms of products of toric varieties
Alvaro Liendo, Giancarlo Lucchini Arteche
We give an explicit description of the automorphism group of a product of complete toric varieties over an arbitrary field in terms of the respective automorphism groups of its com…
Local-global principles for homogeneous spaces over some two-dimensional geometric global fields
Diego Izquierdo, Giancarlo Lucchini Arteche
In this article, we study the obstructions to the local-global principle for homogeneous spaces with connected or abelian stabilizers over finite extensions of the field $\mathbb{C…
Smooth quotients of complex tori by finite groups (with an appendix by Stephen Griffeth)
Robert Auffarth, Giancarlo Lucchini Arteche
Let be a complex torus and a finite group acting on without translations such that is smooth. Consider the subgroup generated by elements that have at l…
On extensions of algebraic groups
Mathieu Florence, Giancarlo Lucchini Arteche
We extend to the context of algebraic groups a classic result on extensions of abstract groups relating the set of isomorphism classes of extensions of by with that of exte…
Smooth quotients of abelian varieties by finite groups
Robert Auffarth, Giancarlo Lucchini Arteche
We give a complete classification of smooth quotients of abelian varieties by finite groups that fix the origin. In the particular case where the action of the group on the tan…
The unramified Brauer group of homogeneous spaces with finite stabilizer
Giancarlo Lucchini Arteche
We give formulas for calculating the unramified Brauer group of a homogeneous space of a semisimple simply connected group with finite geometric stabilizer over a…