Counting rational curves on K3 surfaces
| dc.creator | Beauville, Arnaud | |
| dc.date | 1997-01-30 | |
| dc.date.accessioned | 2026-07-07T09:07:10Z | |
| dc.date.available | 2026-07-07T09:07:10Z | |
| dc.description | The aim of these notes is to explain the remarkable formula found by Yau and Zaslow to express the number of rational curves on a K3 surface. Projective K3 surfaces fall into countably many families F(g) (g>0); a surface in F(g) admits a g-dimensional linear system of curves of genus g. Such a system contains a positive number, say n(g), of rational (highly singular) curves. The formula is \sum n(g) q^g = q/D((q), where D(q) = q \prod (1-q^n)^{24} is the well-known modular form of weight 12. | |
| dc.description | Plain TeX, 11 pages | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9701019 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9701019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150272 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Counting rational curves on K3 surfaces | |
| dc.type | text |