3 papers
math.AG2024
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…
math.AC2024
A generalized Saito freeness criterion
Daniele Faenzi, Marcos Jardim, Jean Vallès
We establish generalizations of Saito's criterion for the freeness of divisors in projective spaces that apply both to sequences of several homogeneous polynomials and to divisors…
math.AG2024
Saito criterion and its avatars
Daniele Faenzi, Marcos Jardim, Jean Vallès
Saito gave a nice and efficient criterion to determine whether the module of logarithmic derivation associated with a reduced divisor in a complex variety is free or not. The aim o…