What type of study is this?

This is a Quantitative Study study.

October 5, 2025Open Access

Cyclic coverings of degree 6 of curves of genus 2

View Full Paper

Ask AI

Bookmark

The Prym map is generically injective for degree 6 cyclic coverings over genus 2 curves.
Findings indicate significant algebraic properties in covering spaces related to genus 2 curves.
Research employs étale coverings, an essential tool in understanding morphisms between algebraic structures.
Insights contribute to algebraic geometry, particularly in studying complex curve coverings and their properties.

This research explores injections of the Prym map for cyclic coverings, suggesting new pathways in algebraic geometry.

We prove that the Prym map corresponding to étale cyclic coverings of degree 6 over a genus 2 curve is generically injective.

No takes yet. Share an insight, caveat, or question.

Borówka et al. (2025) studied this question.

View Full Paper

Ask AI

Bookmark

This research explores injections of the Prym map for cyclic coverings, suggesting new pathways in algebraic geometry.

We prove that the Prym map corresponding to étale cyclic coverings of degree 6 over a genus 2 curve is generically injective.