Miyaoka’s bound for conics on K3 surfaces and beyond

Nagoya Mathematical Journal 2026 Open access

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Authors: Sławomir Rams, Matthias Schütt
DOI: 10.1017/nmj.2026.10109
Cited by: 0
References: 24

Abstract

Abstract We show that Miyaoka’s bound for the number of conics on a degree- $2h$ K3 surface is attained for high h , and analogously for higher even degree (smooth) rational curves.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Geometry and complex manifolds Analytic Number Theory Research

Publication details

Journal / source
Nagoya Mathematical Journal
Publisher
Cambridge University Press (CUP)
Volume
261
Publication date
1 January 2026
Language
EN