18 citations · 86 across the 27 of their papers we have counts for
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math.NT2014★ 4 cited
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…
math.NT2014
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…