Severi varieties and self rational maps of K3 surfaces

Abstract

0.1 Notations. We deal in this paper with complex projective K3 surfaces, i.e. smooth K-trivial complex projective surfaces without irregularity. Let φ : S 99K S be a dominant self rational map. Suppose Pic(S) = Z. Then there exists a positive integer l such that φOS(1) ∼= OS(l). It is the algebraic degree of φ, that is the degree of the polynomials defining φ. There always exists an elimination of indeterminacies

Cite this paper

@inproceedings{Dedieu2008SeveriVA, title={Severi varieties and self rational maps of K3 surfaces}, author={Thomas Dedieu}, year={2008} }