17 citations · 60 across the 27 of their papers we have counts for
11 papers · 1 filter
Toric varieties and Gröbner bases: the complete Q-factorial case
Michele Rossi, Lea Terracini
We present two algorithms determining all the complete and simplicial fans admitting a fixed non-degenerate set of vectors as generators of their 1-skeleton. The interplay of t…
Embedding the Picard group inside the class group: the case of $\Q$-factorial complete toric varieties
Michele Rossi, Lea Terracini
Let be a $\Q$-factorial complete toric variety over an algebraic closed field of characteristic . There is a canonical injection of the Picard group in the gr…
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…