Arithmetic Riemann-Roch and Hilbert-Samuel formulae for pointed stable curves

Details Arithmetic Riemann-Roch and Hilbert-Samuel formulae for pointed stable curves Arithmetic Riemann-Roch and Hilbert-Samuel formulae for pointed stable curves

2008-03-16

arxiv.org/abs/0803.2366v1

Mathematics

Number Theory

35 pages; in preparation an updated version with properties on the arithmetic psi classes

Scientific paper

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.

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