Singular rational curves on elliptic K3 surfaces
2023-04-12 | journal article. A publication with affiliation to the University of Göttingen.
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- Authors
- Baltes, Jonas
- Abstract
- We show that on every elliptic K3 surface there are rational curves such that , that is, of unbounded arithmetic genus. Moreover, we show that the union of the lifts of these curves to is dense in the Zariski topology. As an application, we give a simple proof of a theorem of Kobayashi in the elliptic case, that is, there are no globally defined symmetric differential forms.
- Issue Date
- 12-April-2023
- Journal
- Mathematische Nachrichten
- Organization
- Mathematisches Institut
- ISSN
- 0025-584X; 1522-2616
- Language
- English