Translator Disclaimer
October 2020 On Zariski Multiplets of Branch Curves from Surfaces Isogenous to a Product
Michael Lönne, Matteo Penegini
Michigan Math. J. 69(4): 779-792 (October 2020). DOI: 10.1307/mmj/1587002565

Abstract

In this paper we give an asymptotic bound of the cardinality of Zariski multiples of particular irreducible plane singular curves. These curves have only nodes and cusps as singularities and are obtained as branched curves of ramified covering of the plane by surfaces isogenous to a product of curves with group ( Z / 2 Z ) k . The knowledge of the moduli space of these surfaces will enable us to produce Zariski multiplets whose number grows subexponentially in function of their degree.

Citation

Download Citation

Michael Lönne. Matteo Penegini. "On Zariski Multiplets of Branch Curves from Surfaces Isogenous to a Product." Michigan Math. J. 69 (4) 779 - 792, October 2020. https://doi.org/10.1307/mmj/1587002565

Information

Received: 26 September 2018; Revised: 28 April 2019; Published: October 2020
First available in Project Euclid: 16 April 2020

MathSciNet: MR4168786
Digital Object Identifier: 10.1307/mmj/1587002565

Subjects:
Primary: 14J10, 14J29, 20D15, 20D25, 20H10, 30F99

Rights: Copyright © 2020 The University of Michigan

JOURNAL ARTICLE
14 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.69 • No. 4 • October 2020
Back to Top