5 citations · 16 across the 7 of their papers we have counts for
10 papers
On ordinary Enriques surfaces in positive characteristic
Roberto Laface, Sofia Tirabassi
We give a notion of ordinary Enriques surfaces and their canonical lifts in any positive characteristic, and we prove Torelli-type results for this class of Enriques surfaces.
On the Picard numbers of abelian varieties in positive characteristic
Roberto Laface
In this paper, we study the set of possible Picard numbers of abelian varieties of dimension over algebraically closed fields of characteristic . We show that…
Towards the weighted bounded negativity conjecture for blow-ups of algebraic surfaces
Roberto Laface, Piotr Pokora
In the present paper, we focus on a weighted version of the Bounded Negativity Conjecture which predicts that for every smooth projective surface in characteristic zero the self-in…
On isogenies of Prym varieties
Roberto Laface, César Martínez
We prove an extension of the Babbage-Enriques-Petri theorem for semi-canonical curves. We apply this to show that the Prym variety of a generic element of a codimension subvari…
On the Picard numbers of abelian varieties
Klaus Hulek, Roberto Laface
We study the possible Picard numbers of abelian varieties of given dimension . If denotes the set of realizable Picard numbers, then is bounded by . We show tha…
Local negativity of surfaces with non-negative Koidara dimension and transversal configurations of curves
Roberto Laface, Piotr Pokora
We give a bound on the H-constants of configurations of smooth curves having transversal intersection points only on an algebraic surface of non-negative Kodaira dimension. We also…
The field of moduli of singular K3 surfaces
Roberto Laface
We study the field of moduli of singular abelian and K3 surfaces. We discuss both the field of moduli over the CM field and over $\Q$. We also discuss non-finiteness with respect t…
On the local negativity of surfaces with numerically trivial canonical class
Roberto Laface, Piotr Pokora
In this note we study the local negativity for certain configurations of smooth rational curves in smooth surfaces with numerically trivial canonical class. We show that for such r…
Decompositions of singular abelian surfaces
Roberto Laface
Given an abelian surface, the number of its distinct decompositions into a product of elliptic curves has been described by Ma. Moreover, Ma himself classified the possible decompo…
On Zariski Decomposition with and without support
Roberto Laface
In this paper we study Zariski Decomposition with support in a negative definite cycle, a variation introduced by Y. Miyaoka. We provide two extensions of the original statement, w…