Rational parametrizations of moduli spaces of curves
Alessandro Verra
TL;DR
This paper explores the historical and geometric aspects of rational parametrizations of moduli spaces of curves, providing a comprehensive account of their diverse structures and properties.
Contribution
It offers a detailed analysis of the geography of rational parametrizations, contributing new insights into their classification and geometric features.
Findings
Provides a comprehensive overview of rational parametrizations
Highlights the diversity of moduli space structures
Connects historical developments with geometric insights
Abstract
The paper aims to give an account, both historical and geometric, on the diverse geography of rational parametrizations of moduli spaces related to curves. It is a contribution to the book Handbook of Moduli, editors G. Farkas and I. Morrison, to be published by International Press. Refereed version.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometric and Algebraic Topology