Construction of random points in moduli spaces and their geometry (A09)

• Subject Area: Mathematics
• Term: from 2017 to 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 286237555

Focusing on curves and surfaces, this project aims at constructing and studying general elements in moduli spaces of central interest. Our goal is to clarify important unirationality questions and reveal further properties of the moduli spaces and their elements. We will study Hurwitz spaces of d-sheeted coverings of the projective line by curves of genus g and numerical Godeaux surfaces, which are minimal surfaces of general type with smallest possible numerical invariants.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 195: Symbolic Tools in Mathematics and their Application
• Applicant Institution: Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau
• Project Heads: Professor Dr. Wolfram Decker; Professor Dr. Frank-Olaf Schreyer