59 citations · 125 across the 25 of their papers we have counts for
6 papers · 2 filters
Fibration and classification of smooth projective toric varieties of low Picard number
Michele Rossi, Lea Terracini
In this paper we show that a smooth toric variety of Picard number always admits a nef primitive collection supported on a hyperplane admitting non-trivial intersecti…
A numerical ampleness criterion via Gale duality
Michele Rossi, Lea Terracini
The main object of the present paper is a numerical criterion determining when a Weil divisor of a $\Q$--factorial complete toric variety admits a positive multiple Cartier divisor…
A Batyrev type classification of --factorial projective toric varieties
Michele Rossi, Lea Terracini
The present paper is devoted to generalizing, inside the class of projective toric varieties, the classification [Batyrev91], performed by Batyrev in 1991 for smooth complete toric…
A --factorial complete toric variety with Picard number 2 is projective
Michele Rossi, Lea Terracini
This paper is devoted to settle two still open problems, connected with the existence of ample and nef divisors on a Q-factorial complete toric variety. The first problem is about…
A Q-factorial complete toric variety is a quotient of a poly weighted space
Michele Rossi, Lea Terracini
We prove that every Q-factorial complete toric variety is a finite quotient of a poly weighted space (PWS), as defined in our previous work arXiv:1501.05244. This generalizes the B…
Z-linear Gale duality and poly weighted spaces (PWS)
Michele Rossi, Lea Terracini
The present paper is devoted to discussing Gale duality from the Z-linear algebraic point of view. This allows us to isolate the class of Q-factorial complete toric varieties whose…