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

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.

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

References in corpus (1)

• An arithmetic Riemann-Roch theorem for pointed stable curves