Explicit Brill-Noether-Petri general curves

被引：9

作者：

Arbarello, Enrico ^{[1
]}

Bruno, Andrea ^{[2
]}

Farkas, Gavril ^{[3
]}

Sacca, Giulia ^{[4
]}

机构：

[1] Univ Roma Sapienza, Dipartimento Matemat Guido Castelnuovo, Piazzale A Moro 2, I-00185 Rome, Italy

[2] Univ Rome Tre, Dipartimento Matemat & Fis, Largo San Leonardo Murialdo 1, I-00146 Rome, Italy

[3] Humboldt Univ, Inst Math, Unter Linden 6, D-10099 Berlin, Germany

[4] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

来源：

COMMENTARII MATHEMATICI HELVETICI | 2016年 / 91卷 / 03期

关键词：

Brill-Noether theory; moduli of curves; surfaces with canonical sections; LINEAR-SYSTEMS; DIVISORS; THEOREM; PROOF;

D O I：

10.4171/CMH/392

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p(1),..., p(9) be the points in A(2)(Q) subset of P-2(Q) with coordinates (-2, 3), (-1, -4), (2, 5) (4, 9), (52, 375), (5234, 37866), (8, -23), (43, 282), (1/4, -33/8), respectively. We prove that, for any genus g, a plane curve of degree 3g having a g-tuple point at p(1), ..., p(8), and a (g - 1)-tuple point at p(9), and no other singularities, exists and that the general plane curve of that degree and with those singularities is a Brill-Noether-Petri general curve of genus g.

引用

页码：477 / 491

页数：15

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