Some examples of K3 surfaces with infinite automorphism group which\n preserves an elliptic pencil

2020/06/06 by Viacheslav V. Nikulin, Nikulin, Viacheslav V.
Mathematics · #14J28 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2006.03942

openalex publication_date 2020/06/06 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We give more details to our examples in [9] of K3 surfaces over C such that\nthey have infinite automorphism group but it preserves some elliptic pencil of\nthe K3\n

Related

• Automorphism groups in a family of K3 surfaces
• K3 surfaces with an automorphism of order 66, the maximum possible
• K3 surfaces with a symplectic automorphism of order 11
• On the geometry of K3 surfaces with finite automorphism group and no elliptic fibrations
• Numerically trivial automorphisms of elliptic surfaces III: the non-algebraic case