2 citations · 4 across the 3 of their papers we have counts for
3 papers
math.NT2008★ 2 cited
Arithmetic Riemann-Roch and Hilbert-Samuel formulae for pointed stable curves
Gerard Freixas i Montplet
We prove arithmetic Riemann-Roch and Hilbert-Samuel type formulae for pointed stable curves. We give applications to volumes of lattices of integral cusps forms for pointed stable…
math.NT2007★ 1 cited
An arithmetic Riemann-Roch theorem for pointed stable curves
Gerard Freixas I. Montplet
We prove an arithmetic Riemann-Roch theorem for pointed stable curves. We derive consequences for the Selberg zeta function of an open modular curve (resp. ),…
math.NT2007★ 1 cited
Heights and metrics with logarithmic singularities
Gerard Freixas i Montplet
We prove lower bound and finiteness properties for arakelovian heights with respect to pre-log-log hermitian ample line bundles. These heights were introduced by Burgos, Kramer and…