Automorphisms of K3 surfaces and their applications

2018/12/31 by Shingo Taki, Taki, Shingo
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1901.00383

openalex publication_date 2018/12/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is a survey about K3 surfaces with an automorphism and log rational surfaces, in particular, log del Pezzo surfaces and log Enriques surfaces. It is also a reproduction on my talk at "Mathematical structures of integrable systems and their applications" held at Research Institute for Mathematical Sciences in September 2018.

Citations

• Log Enriques surfaces of index 7 and type A₁₅

Related

• Log K3 surfaces with irreducible boundary
• K3 surfaces with an automorphism of order 11
• On the complete classification of extremal log Enriques surfaces
• The automorphism groups of certain singular K3 surfaces and an Enriques surface
• Pseudo-automorphisms of rational threefolds and Kummer surfaces