arXiv subjects

Federico Venturelli

Publications and source records attributed to Federico Venturelli.

2 recordsLinked to original sources

arXiv2019

Gysin morphisms for non-transversal hyperplane sections with an application to line arrangements

We prove the existence of Gysin morphisms for hyperplane sections that may not satisfy the usual hypotheses of the Lefschetz hyperplane theorem. As an application, we show the triviality of the Alexander polynomial of a particular class of non-symmetric line arrangements, thus providing positive evidence for a conjecture of Papadima and Suciu.

math.AG↗

arXiv2018

Prehomogeneous tensor spaces

We refine the classification of prehomogeneous vector spaces, provided by Sato-Kimura, in the case of tensor spaces, presenting a quick way to check whether a given tensor space is prehomogeneous or not.

math.AG↗