Arithmetic Riemann-Roch and Hilbert-Samuel formulae for pointed stable curves
Number Theory
2008-03-18 v1 Algebraic Geometry
Abstract
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 curves of genus 0.
Cite
@article{arxiv.0803.2366,
title = {Arithmetic Riemann-Roch and Hilbert-Samuel formulae for pointed stable curves},
author = {Gerard Freixas i Montplet},
journal= {arXiv preprint arXiv:0803.2366},
year = {2008}
}
Comments
35 pages; in preparation an updated version with properties on the arithmetic psi classes