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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156984We 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 classesNumber TheoryAlgebraic Geometry14G40 (Primary); 11M36 (Secondary)Arithmetic Riemann-Roch and Hilbert-Samuel formulae for pointed stable curvestext