23 citations · 57 across the 35 of their papers we have counts for
3 papers · 2 filters
Unlikely intersections and multiple roots of sparse polynomials
F. Amoroso, M. Sombra, U. Zannier
We present a structure theorem for the multiple non-cyclotomic irreducible factors appearing in the family of all univariate polynomials with a given set of coefficients and varyin…
Height of varieties over finitely generated fields
Jose Ignacio Burgos Gil, Patrice Philippon, Martin Sombra
We show that the height of a variety over a finitely generated field of characteristic zero can be written as an integral of local heights over the set of places of the field. This…
Successive minima of toric height functions
Jose Ignacio Burgos Gil, Patrice Philippon, Martin Sombra
Given a toric metrized R-divisor on a toric variety over a global field, we give a formula for the essential minimum of the associated height function. Under suitable positivity co…