Tropical correspondences for A1-enumerative geometry (A11*)

• Subject Area: Mathematics
• Term: since 2026
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 444845124

This project aims to develop and extend tropical correspondence theorems in A¹-enum-erative geometry. They provide an effective method for carrying out computations. One goal is to define A¹-Hurwitz numbers that generalize classical and real Hurwitz numbers. Furthermore, we aim to analyze the quasimodular structure of generating series for real covers of elliptic curves. Another objective is to extend existing tropical correspondence theorems for curves on surfaces. As an ambitious goal, we seek to explore how these methods can be extended to count curves in higher-dimensional varieties.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 326: Geometry and Arithmetic of Uniformized Structures (GAUS)
• Applicant Institution: Goethe-Universität Frankfurt am Main
• Project Heads: Professor Dr. Martin Möller; Professorin Dr. Sabrina Pauli