3 citations · 6 across the 6 of their papers we have counts for
6 papers
Logarithmic vector fields and foliations on toric varieties
Daniele Faenzi, Marcos Jardim, William D Montoya
We introduce a toric version of the sheaf of logarithmic vector fields along a divisor of a simplicial toric variety. The notion is also relevant for algebraically independent fami…
A Weak (k,k)-Lefschetz Theorem for Projective Toric Orbifolds
William D. Montoya
Firstly we show a generalization of the (1,1)-Lefschetz theorem for projective toric orbifolds and secondly we prove that on 2k-dimensional quasi-smooth hypersurfaces coming from q…
Deformation of pairs and Noether-Lefschetz loci in toric varieties
Ugo Bruzzo, William D. Montoya
We continue our study of the Noether-Lefschetz loci in toric varieties and investigate deformation of pairs (V,X) where V is a complete intersection subvariety and X a quasi-smooth…
On the Hodge conjecture for quasi-smooth intersections in toric varieties
Ugo Bruzzo, William D. Montoya
We establish the Hodge conjecture for some subvarieties of a class of toric varieties. First we study quasi-smooth intersections in a projective simplicial toric variety, which is…
Codimension bounds for the Noether-Lefschetz components for toric varieties
Ugo Bruzzo, William D. Montoya
For a quasi-smooth hyper-surface in a projective simplicial toric variety , the morphism induced by the inclusion is injective for and an isomorp…
An asymptotic description of the Noether-Lefschetz components in toric varieties
Ugo Bruzzo, William D. Montoya
We extend the definition of Noether-Leschetz components to quasi-smooth hypersurfaces in a projective simplicial toric variety of dimension 2k+1, and prove that asymptotically the…