Upper bounds for the dimension of moduli spaces of curves with symmetric Weierstrass semigroups

被引：11

作者：

Contiero, Andre ^{[1
]}

Stoehr, Karl-Otto ^{[2
]}

机构：

[1] Univ Fed Alagoas, Inst Matemat, BR-57072970 Maceio, AL, Brazil

[2] IMPA, BR-22460320 Rio De Janeiro, RJ, Brazil

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2013年 / 88卷

关键词：

POINTS;

D O I：

10.1112/jlms/jdt034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present an explicit method to produce upper bounds for the dimension of the moduli spaces of complete integral pointed Gorenstein curves with prescribed symmetric Weierstrass semigroups. We illustrate the method by handling explicitly a family of symmetric semigroups, providing an upper bound which is better than Deligne's bound.

引用

页码：580 / 598

页数：19

共 17 条

[11] WEIERSTRASS SEMIGROUPS AND THE CANONICAL IDEAL OF NON-TRIGONAL CURVES [J].

OLIVEIRA, G .

MANUSCRIPTA MATHEMATICA, 1991, 71 (04) :431-450

[12]

Pinkham H. C., 1974, Asterisque, P1

[13] WEIERSTRASS POINTS AND MONOMIAL CURVES [J].

RIM, DS ;

VITULLI, MA .

JOURNAL OF ALGEBRA, 1977, 48 (02) :454-476

[14]

STOHR KO, 1993, J REINE ANGEW MATH, V441, P189

[15] DEFORMATION OF GORENSTEIN SINGULARITIES OF CO-DIMENSION-3 [J].

WALDI, R .

MATHEMATISCHE ANNALEN, 1979, 242 (03) :201-208

[16]

WALDI R., 1980, REGENSBURGER MATH SC, V4, P1

[17]

[No title captured]

← 1 2 →