Lines on smooth polarized K3-surfaces
Date
2019
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Source Title
Discrete and Computational Geometry
Print ISSN
0179-5376
Electronic ISSN
Publisher
Springer
Volume
62
Issue
3
Pages
601 - 648
Language
English
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Abstract
For each integer D⩾3D⩾3, we give a sharp bound on the number of lines contained in a smooth complex 2D-polarized K3-surface in PD+1PD+1. In the two most interesting cases of sextics in P4P4 and octics in P5P5, the bounds are 42 and 36, respectively, as conjectured in an earlier paper.