Jose Ignacio Burgos Gil

activity

20032026

most citedDifferentiability of non-archimedean volumes and non-archimedean Monge-Ampère equations (with an appendix by Robert Lazarsfeld)

18 citations · 86 across the 27 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.NT2016

On the essential minimum of Faltings' height

José Burgos Gil, Ricardo Menares, Juan Rivera-Letelier

We study the essential minimum of the (stable) Faltings height on the moduli space of elliptic curves. We prove that, in contrast to the Weil height on a projective space and the N…

math.AG2016★ 18 cited

Differentiability of non-archimedean volumes and non-archimedean Monge-Ampère equations (with an appendix by Robert Lazarsfeld)

José Ignacio Burgos Gil, Walter Gubler, Philipp Jell +2

Let $X$ be a normal projective variety over a complete discretely valued field and $L$ a line bundle on $X$ . We denote by $X^{an}$ the analytification of $X$ in the sense of…