Cyclic coverings of degree 6 of curves of genus 2

Key Points

• 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.