Quartic K3 surfaces and Cremona transformations

2011/10/21 by Keiji Oguiso, Oguiso, Keiji
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1110.4726

openalex publication_date 2011/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that there is a smooth quartic K3 surface automorphism that is not derived from the Cremona transformation of the ambient three-dimensional projective space. This gives a negative answer to a question of Professor Marat Giz.atullin

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