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2013 | OriginalPaper | Chapter

Quartic K3 Surfaces and Cremona Transformations

Author : Keiji Oguiso

Published in: Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds

Publisher: Springer New York

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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 Gizatullin.

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previous chapter Enriques Surfaces of Hutchinson–Göpel Type and Mathieu Automorphisms

next chapter Invariants of Regular Models of the Product of Two Elliptic Curves at a Place of Multiplicative Reduction

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Title: Quartic K3 Surfaces and Cremona Transformations
Author: Keiji Oguiso
Publisher: Springer New York
Book: Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds
Print ISBN: 978-1-4614-6402-0

Electronic ISBN: 978-1-4614-6403-7

Copyright Year: 2013
DOI: https://doi.org/10.1007/978-1-4614-6403-7_16

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