Publications at the Riemann Center
Divisibilities among nodal curves
Abstract
We prove that there are no effective or anti-effective classes of square −1 or −2 arising from nodal curves on smooth algebraic surfaces by way of divisibility. This general fact has interesting applications to Enriques and K3 surfaces. The proof relies on specific properties of root lattices and their dual.
Details
- Organisation(s)
-
Institute of Algebraic Geometry
Riemann Center for Geometry and Physics
- Type
- Article
- Journal
- Mathematical research letters
- Volume
- 25
- Pages
- 1359-1368
- No. of pages
- 10
- ISSN
- 1073-2780
- Publication date
- 16.11.2018
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Mathematics
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.1706.00570 (Access:
Open
)
https://doi.org/10.4310/mrl.2018.v25.n4.a14 (Access: Closed )
