English

Quartic K3 surfaces and Cremona transformations

Algebraic Geometry 2012-06-25 v3

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

Keywords

Cite

@article{arxiv.1110.4726,
  title  = {Quartic K3 surfaces and Cremona transformations},
  author = {Keiji Oguiso},
  journal= {arXiv preprint arXiv:1110.4726},
  year   = {2012}
}

Comments

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

R2 v1 2026-06-21T19:23:40.834Z