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On the Néron-Severi group of surfaces with many lines
Author(s):
Samuel
Boissière;
Alessandra
Sarti
Journal:
Proc. Amer. Math. Soc.
136
(2008),
3861-3867.
MSC (2000):
Primary 14J28
Posted:
June 3, 2008
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Abstract:
For a binary quartic form  without multiple factors, we classify the quartic  surfaces  whose Néron-Severi group is (rationally) generated by lines. For generic binary forms  ,  of prime degree without multiple factors, we prove that the Néron-Severi group of the surface  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
Email:
sarti@mathematik.uni-mainz.de
DOI:
10.1090/S0002-9939-08-09475-6
PII:
S 0002-9939(08)09475-6
Keywords:
N{\'e}ron-Severi group,
Picard number,
lines on surfaces
Received by editor(s):
January 22, 2007,
Received by editor(s) in revised form:
March 29, 2007, and October 9, 2007
Posted:
June 3, 2008
Communicated by:
Ted Chinburg
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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