On asymptotic bounds for the number of irreducible components of the moduli space of surfaces of general type II

2015/07/21 by Michael Lönne, Lönne, Michael, Matteo Penegini +1
Mathematics · #14J10 #14J29 #20D15 #20D25 #20H10 #30F99 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1507.05779

openalex publication_date 2015/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we investigate the asymptotic growth of the number of irreducible and connected components of the moduli space of surfaces of general type corresponding to certain families of surfaces isogenous to a higher product with group (\mathbb Z/2\mathbb Z)^k. We obtain a significantly higher growth than the one in our previous paper [LP14, arXiv:1402.6438].

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