The pullback of a theta divisor to (M)over-barg,n

被引：11
|
作者：
Mueller, Fabian [1 ]
机构：
[1] Univ Berlin, Inst Math, D-10099 Berlin, Germany
来源：
MATHEMATISCHE NACHRICHTEN | 2013年 / 286卷 / 11-12期
关键词：
Theta divisor; moduli space of pointed curves; test curves; limit linear series; MODULI SPACES; CURVES;
D O I：
10.1002/mana.201200072
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We compute the class of a divisor on (M) over bar (g,n) given as the closure of the locus of smooth pointed curves [C;x(1), ...,x(n)] for which Sigma d(j)x(j) has an effective representative, where the d(j)'s are integers summing up to g - 1, not all positive. The techniques used are a vector bundle computation, a pushdown argument reducing the number of marked points, and the method of test curves. (C) 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码：1255 / 1266
页数：12
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