On the Rationality of the Moduli of Higher Spin Curves in Low Genus
From MaRDI portal
Publication:4560458
DOI10.1093/IMRN/RNV264zbMath1404.14032arXiv1311.0263OpenAlexW2963155522MaRDI QIDQ4560458
L. Pernigotti, Alessandro Verra
Publication date: 12 December 2018
Published in: Unnamed Author (Search for Journal in Brave)
Abstract: The global geometry of the moduli spaces of higher spin curves and their birational classification is largely unknown for g >= 2 and r > 2. Using quite related geometric constructions, we almost complete the picture of the known results in genus g <= 4 showing the rationality of the moduli spaces of even and odd 4-spin curves of genus 3, of odd spin curves of genus 4 and of 3-spin curves of genus 4.
Full work available at URL: https://arxiv.org/abs/1311.0263
Families, moduli of curves (algebraic) (14H10) Theta functions and curves; Schottky problem (14H42) Classification theory of Riemann surfaces (30F20)
Related Items (1)
This page was built for publication: On the Rationality of the Moduli of Higher Spin Curves in Low Genus
