Birational Geometry of moduli spaces of pointed curves

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 ${\overline{\mathcal{M}}}_{g,n}$ by certain subgroups of $S_n$" and "The moduli space of hyperelliptic curves with marked points".

arXiv commentThis is the authors doctoral thesis written at the Humboldt-University Berlin

References in corpus (7)

• Notes on Grothendieck topologies, fibered categories and descent theory
• Log-Riemann Surfaces
• Uniruledness of some moduli spaces of stable pointed curves
• Brill-Noether theory for cyclic covers
• On the Kodaira dimension of the moduli space of hyperelliptic curves with marked points
• On the Kodaira dimension of the moduli space of nodal curves
• On quotients of ${\overline{\mathcal{M}}}_{g,n}$ by certain subgroups of $S_n$