Regular components of moduli spaces of stable maps

被引：3

作者：

Farkas, G ^{[1
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 131卷 / 07期

关键词：

D O I：

10.1090/S0002-9939-02-06814-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct regular components of the moduli space of stable maps from curves of genus g to a product of two projective spaces. These components are generically smooth and have the expected dimension predicted by deformation theory. This result can be seen as a general position theorem for loci in M-g consisting of curves carrying exceptional linear series.

引用

页码：2027 / 2036

页数：10

共 16 条

[1]

ABRAMOVICH D, MATHAG0106211

[2] FOOTNOTES TO A PAPER OF BENIAMINO SEGRE - THE NUMBER OF GD1,S ON A GENERAL D-GONAL CURVE, AND THE UNIRATIONALITY OF THE HURWITZ SPACES OF 4-GONAL AND 5-GONAL CURVES [J].

ARBARELLO, E ;

CORNALBA, M .

MATHEMATISCHE ANNALEN, 1981, 256 (03) :341-362

[3]

Arbarello E., 1985, GRUNDLEHREN MATH WIS, V267

[4]

BALLICO E, 1989, J REINE ANGEW MATH, V397, P1

[5]

CARLSON J, 1983, COMPOS MATH, V50, P109

[6]

CHANG MC, 1987, P SYMP PURE MATH, V46, P63

[7] Linear series on a general k-gonal curve [J].

Coppens, M ;

Martens, G .

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1999, 69 (1) :347-371

[8] THE PRIMITIVE LENGTH OF A GENERAL K-GONAL CURVE [J].

COPPENS, M ;

KEEM, C ;

MARTENS, G .

INDAGATIONES MATHEMATICAE-NEW SERIES, 1994, 5 (02) :145-159

[9] SOME REMARKS ON THE SCHEMES WRD [J].

COPPENS, M .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1990, 157 :183-197

[10] HURWITZ SCHEMES AND IRREDUCIBILITY OF MODULI OF ALGEBRAIC CURVES [J].

FULTON, W .

ANNALS OF MATHEMATICS, 1969, 90 (03) :542-&

← 1 2 →