2 citations · 3 across the 4 of their papers we have counts for
4 papers
Diophantine geometry and toric varieties
Patrice Philippon, Martin Sombra
We present some results on projective toric varieties which are relevant in Diophantine geometry. We interpret and study several invariants attached to these varieties in geometric…
Quelques aspects diophantiens des varietes toriques projectives
Patrice Philippon, Martin Sombra
Some diophantine aspects of projective toric varieties: We present several faces of projective toric varieties, of interest from the point of view of diophantine geometry. We make…
Normalized height of projective toric varieties
Patrice Philippon, Martin Sombra
We present an explicit expression for the normalized height of a projective toric variety. This expression decomposes as a sum of local contributions, each term being the integral…
The Cayley-Menger determinant is irreducible for
Carlos D'Andrea, Martin Sombra
We prove that the Cayley-Menger determinant of an -dimensional simplex is an absolutely irreducible polynomial for We also study the irreducibility of polynomials asso…