On the variety of special linear systems on a general algebraic curve
On the variety of special linear systems on a general algebraic curve
复制标题
关于一般代数曲线上的各种特殊线性系统
DOI：
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发表时间：
1980
期刊：
影响因子：
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通讯作者：
J. Harris
中科院分区：
文献类型：
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作者：
P. Griffiths;J. Harris
0。引言(A)问题和主要定理的陈述；一些参考文献233(B)主要定理的推论236(C)Brill-Noether矩阵的作用238(D)关于维度计数的启发式推理；CastelnuovoSeveri-Kleiman猜想240(E)符号和术语242 1.将维度计数降为猜想(A)启发式讨论244(B)Castelnuovo正则曲线的几何246(C)Castelnuovo正则曲线的维度计数248(D)约简定理的证明249 2.Castelnuovo-Severi-Kleiman猜想的证明(A)启发式讨论；关键例子254(B)论元259的完备性3.W的重数，(A)启发式讨论261(B)交点数263的计算(C)Castelnuovo正则曲线266上的计数问题的解266(D)一般光滑曲线270的重数的确定
0. Introduction (a) Statement of the problem and of the main theorem; some references 233 (b) Corollaries of the main theorem 236 (c) Role of the Brill-Noether matrix 238 (d) Heuristic reasoning for the dimension count; the CastelnuovoSeveri-Kleiman conjecture 240 (e) Notations and terminology 242 1. Reduction of the dimension count to the conjecture (a) Heuristic discussion 244 (b) Geometry of Castelnuovo canonical curves 246 (c) Dimension count on Castelnuovo canonical curves 248 (d) Proof of the reduction theorem 249 2. Proof of the Castelnuovo-Severi-Kleiman conjecture (a) Heuristic discussion; the crucial examples 254 (b) Completion of the argument 259 3. Multiplicities of W, (a) Heuristic discussion 261 (b) Computation of an intersection number 263 (c) Solution to an enumerative problem on Castelnuovo canonical curves 266 (d) Determination of multiplicities for a general smooth curve 270