2 citations · 2 across the 4 of their papers we have counts for
6 papers
On the Euler-Poincaré characteristic of parallel toric arrangements
Elia Saini
Toric arrangements of maximal rank have been studied by the author in a paper that shows how the complement manifold of these arrangements is diffeomorphic to that of centered ones…
Centering toric arrangements of maximal rank
Elia Saini
The homotopy type of the complement manifold of a complexified toric arrangement has been investigated by d'Antonio and Delucchi in a paper that shows the minimality of such topolo…
A new presentation for the inner Tutte group of a matroid
Elia Saini
The inner Tutte group of a matroid is a finitely generated abelian group introduced as an algebraic counterpart of Tutte's homotopy theory of matroids. The aim of this work is to p…
The diffeomorphism type of small hyperplane arrangements is combinatorially determined
Matteo Gallet, Elia Saini
It is known that there exist hyperplane arrangements with same underlying matroid that admit non-homotopy equivalent complement manifolds. In this work we show that, in any rank, c…
Realization spaces of matroids over hyperfields
Emanuele Delucchi, Linard Hoessly, Elia Saini
We study realization spaces of matroids over hyperfields (in the sense of Baker and Bowler). More precisely, given a matroid M and a hyperfield H we determine the space of all H-ma…
Approximate Hermitian-Yang-Mills structures on semistable Higgs bundles
Elia Saini
We review the notions of (weak) Hermitian-Yang-Mills structure and approximate Hermitian-Yang-Mills structure for Higgs bundles. Then, we construct the Donaldson functional for Hig…