Quartic K3 surfaces and Cremona transformations

Mathematics – Algebraic Geometry

Scientific paper

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5pages, According to the historical remark by Professor Igor Dolgachev, the title and introduction have been slightly modified

Scientific paper

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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