Nodal curves and postulation of generic fat points on P2

被引：3
|
作者：
Ballico, E [1 ]
Chiantini, L
机构：
[1] Univ Trent, Dipartimento Matemat, I-38050 Povo Trento, Italy
[2] Univ Siena, Dipartimento Matemat, I-53100 Siena, Italy
来源：
ARCHIV DER MATHEMATIK | 1998年 / 71卷 / 06期
关键词：
Line Bundle; General Union; Nodal Curf; Prescribe Singularity; Suitable Line;
D O I：
10.1007/s000130050295
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the postulation of a general union Z of fat points of P-2, when most of the connected components of Z have multiplicity 2. This problem is related to the existence of "good" families of curves on P-2 with prescribed singularities, most of them being nodes, and to the cohomology of suitable line bundles on blowing ups of the plane.
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页码：501 / 504
页数：4
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