Maximally inflected real trigonal curves on Hirzebruch surfaces

2020/02/26 by В. И. Звонилов, Zvonilov, V. I. · 1 citation
Mathematics · #05C90 (Secondary) #14J27 #14P25 (Primary) 14H45 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2002.11548

openalex publication_date 2020/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In 2014 A. Degtyarev, I. Itenberg and the author gave a description, up to fiberwise equivariant deformations, of maximally inflected real trigonal curves of type~I (over a base B of an arbitrary genus) in terms of the combinatorics of sufficiently simple graphs and for B=ℙ¹ obtained a complete classification of such curves. In this paper, the mentioned results are extended to maximally inflected real trigonal curves of type~II over B=ℙ¹ . As usual, the results for such curves are extended to real Jacobian elliptic surfaces with all singular fibers real.

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