3 papers
math.AG2026
On a conjecture of Fujino and Sato
Michele Rossi
We revisit results of Fujino--Sato on complete non-projective -factorial toric varieties and their conjectural factorization by flips. We show that their main results ad…
math.AG2025
The multiplicity of a Mori Dream Space: applications to polar duality and the classification of toric -Fano varieties
Michele Rossi
We extend the multiplicity of fake weighted projective spaces, as introduced by Averkov, Kasprzyk, Lehmann and Nill in 2021, to complete toric varieties and Mori Dream Spaces, defi…
math.AG2019
Étale coverings in codimension 1 with applications to Mori Dream Spaces
Michele Rossi
The present paper is devoted to developing relations between Galois étale coverings in codimension 1 and étale fundamental groups in codimension 1 of algebraic varieties, aimed to…