Paweł Borówka

activity

20242026

collaborators

4 papers

math.AG2026

Klein coverings over hyperelliptic genus 3 curves

PaweÅ BorÃ³wka, Angela Ortega

We characterize the moduli space of Ã©tale Klein coverings (i.e. Galois with deck group $Z_{2}^{2}$ ) of hyperelliptic curves of genus 3. We prove that the Prym map on each com…

math.AG2026

Pryms of $Z_{3} \times Z_{3}$ coverings of genus 2 curves

PaweÅ BorÃ³wka, Anatoli Shatsila

We study unramified Galois $Z_{3} \times Z_{3}$ coverings of genus 2 curves and the corresponding Prym varieties and Prym maps. In particular, we prove that any such…

math.AG2025

Prym maps of cyclic coverings of hyperelliptic curves

PaweÅ BorÃ³wka, Juan Carlos Naranjo, Angela Ortega +1

We prove that the Prym map corresponding to Ã©tale cyclic coverings of hyperelliptic curves is injective whenever the degree of the covering $d \geq 6$ is not a power of an odd pri…

math.AG2024

Involutions on hyperelliptic curves and Prym maps