Some remarks on surfaces in P4 containing a family of plane curves

被引:4
|
作者
Sierra, Jose Carlos [1 ]
Tironi, Andrea Luigi
机构
[1] Univ Complutense Madrid, Dept Algebra, Fac Ciencias Matemat, Madrid 28040, Spain
[2] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy
关键词
D O I
10.1016/j.jpaa.2006.06.003
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Smooth surfaces S subset of P-4 containing a 1-dimensional family of plane curves not forming a fibration are studied. We obtain some results confirming the conjecture that the Veronese surface and the quintic elliptic scrolls are the only ones that do not lie on a quadric cone. (c) 2006 Elsevier B.V. All rights reserved.
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页码:361 / 369
页数:9
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