2018/09/26 by Michael Lönne, Lönne, Michael, Matteo Penegini +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1809.09854
openalex publication_date 2018/09/26 · openalex created_date 2022/08/02 · openalex updated_date 2026/07/28
In this paper we give an asymptotic bound of the cardinality of Zariski\nmultiples of particular plane singular curves. These curves have only nodes and\ncusps as singularities and are obtained as branched curves of ramified covering\nof the plane by surfaces isogenous to a product of curves with group\n(\ℤ/2\ℤ)k. The knowledge of the moduli space of these\nsurfaces will enable us to produce Zariski multiplets whose number grows\nsubexponentialy in function of their degree.\n