On the Néron-Severi group of surfaces with many lines
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- by Samuel Boissière and Alessandra Sarti PDF
- Proc. Amer. Math. Soc. 136 (2008), 3861-3867 Request permission
Abstract:
For a binary quartic form $\phi$ without multiple factors, we classify the quartic $K3$ surfaces $\phi (x,y)=\phi (z,t)$ whose Néron-Severi group is (rationally) generated by lines. For generic binary forms $\phi$, $\psi$ of prime degree without multiple factors, we prove that the Néron-Severi group of the surface $\phi (x,y)=\psi (z,t)$ is rationally generated by lines.References
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Additional Information
- Samuel Boissière
- Affiliation: Laboratoire J.A. Dieudonné UMR CNRS 6621, Université de Nice Sophia-Antipolis, Parc Valrose, 06108 Nice, France
- Email: samuel.boissiere@math.unice.fr
- Alessandra Sarti
- Affiliation: Johannes Gutenberg Universität Mainz, Institut für Mathematik, 55099 Mainz, Germany
- MR Author ID: 651260
- Email: sarti@mathematik.uni-mainz.de
- Received by editor(s): January 22, 2007
- Received by editor(s) in revised form: March 29, 2007, and October 9, 2007
- Published electronically: June 3, 2008
- Communicated by: Ted Chinburg
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 3861-3867
- MSC (2000): Primary 14J28
- DOI: https://doi.org/10.1090/S0002-9939-08-09475-6
- MathSciNet review: 2425725