Generic Torelli for coverings of plane quintics ramified in two points
Juan Carlos Naranjo, Irene Spelta
TL;DR
This paper proves that the Prym map, when restricted to certain coverings of plane quintic curves ramified in two points, is generically injective, advancing understanding of algebraic curve coverings.
Contribution
It establishes the generic injectivity of the Prym map for coverings of plane quintics ramified in two points, a new result in algebraic geometry.
Findings
Prym map is generically injective on this locus
Provides new insights into coverings of plane quintic curves
Advances the theory of algebraic curve coverings
Abstract
The aim of this paper to prove that the ramified Prym map restricted to the locus of coverings of quintic plane curves ramified in 2 points is generically injective.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Numerical Analysis Techniques · Advanced Differential Equations and Dynamical Systems