The cone of curves of K3 surfaces revisted

2013/09/22 by Sándor J. Kovács, Sándor J Kovács, Kovács, Sándor J
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Computational Geometry and Mesh Generation #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1309.5562

To appear in the book Birational Geometry, Rational Curves, and Arithmetic

arxiv created 2013/09/22 · openalex publication_date 2013/09/22 · arxiv updated 2013/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main theorem of "S. J. Kovács: The cone of curves of a K3 surface, Math. Ann. 300 (1994), no. 4, 681-691" is proved in arbitrary characteristic. The proof is essentially the same as in the original paper where it was stated only over the complex numbers.

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