Birational Geometry of moduli spaces of pointed curves

2021/01/17 by Irene Schwarz, Schwarz, Irene
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2101.06776

openalex publication_date 2021/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is the authors doctoral thesis written at the Humboldt-University Berlin. It contains material from the three separate papers: "On the Kodaira dimension of the moduli space of nodal curves", "On quotients of M_g,n by certain subgroups of S_n" and "The moduli space of hyperelliptic curves with marked points".

Citations

• Stable curves and special divisors: Petri's conjecture
• The unirationality of the moduli spaces of curves of genus 14 or lower
• Notes on Grothendieck topologies, fibered categories and descent theory
• Log-Riemann Surfaces

Related

• On the birational geometry of moduli spaces of pointed curves
• Moduli of Curves and Spin Structures via Algebraic Geometry
• The Kodaira dimension of moduli spaces of curves with marked points, II
• On the rationality of moduli spaces of pointed curves
• The Kodaira classification of the moduli of hyperelliptic curves