7 citations · 9 across the 10 of their papers we have counts for
7 papers · 1 filter
On the genus of a curve in a projective -fold
Vincenzo Di Gennaro, Antonio Rapagnetta, Pietro Sabatino
Let be a projective factorial variety of dimension , degree , with at worst isolated singularities. Assume that the Picard group of is generated by…
Groups of order 64 and non-homeomorphic double Kodaira fibrations with the same biregular invariants
Francesco Polizzi, Pietro Sabatino
Let be a closed Riemann surface of genus . We investigate finite quotients of the pure braid group on two strands which do not factor through $π_1(…
Extra-special quotients of surface braid groups and double Kodaira fibrations with small signature
Francesco Polizzi, Pietro Sabatino
We study some special systems of generators on finite groups, introduced in previous work by the first author and called "diagonal double Kodaira structures", in order to investiga…
An explicit bound for the log-canonical degree of curves on open surfaces
Pietro Sabatino
Let , be a smooth projective surface and a simple normal crossing divisor on , respectively. Suppose , let be an irreducible curve on whose su…
On factoriality of threefolds with isolated singularities
Francesco Polizzi, Antonio Rapagnetta, Pietro Sabatino
We investigate the existence of complete intersection threefolds with only isolated, ordinary multiple points and we provide some sufficient conditions for…
Surfaces with nontrivial surjective endomorphisms of any given degree
Antonio Rapagnetta, Pietro Sabatino
We present a complete classification of complex projective surfaces with nontrivial self-maps (i.e. surjective morphisms which are not isomorphisms) of any g…
On homaloidal polynomial functions of degree 3 and prehomogeneous vector spaces
Pierre-Emmanuel Chaput, Pietro Sabatino
In this paper we consider homaloidal polynomial functions such that their multiplicative Legendre transform , defined as in \cite[Section3.2]{MR1890194}, is again polynomi…