Quartic K3 Surfaces and Cremona Transformations

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.Key wordsAutomorphismsQuartic K3 surfacesCremona transformationsMathematics Subject Classifications (2010)Primary 14J28Secondary 14E0714J50