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 Giz.atullin

5pages, final version to appear in the proceedings of the workshop on Arithmetic and Geometry of K3 surfaces and Calabi-Yau threefolds