Cubic curves and totally geodesic subvarieties of moduli space

被引：31
|
作者：
McMullen, Curtis T. [1 ]
Mukamel, Ronen E.
Wright, Alex
机构：
[1] Harvard Univ, Cambridge, MA 02138 USA
来源：
ANNALS OF MATHEMATICS | 2017年 / 185卷 / 03期
基金：
美国国家科学基金会;
关键词：
TEICHMULLER CURVES; VEECH SURFACES; INVARIANT; BILLIARDS;
D O I：
10.4007/annals.2017.185.3.6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we present the first example of a primitive, totally geodesic subvariety F subset of M-g,M-n with dim(F) > 1. The variety we consider is a surface F subset of M-1,M-3 defined using the projective geometry of plane cubic curves. We also obtain a new series of Teichmuller curves in M-4, and new SL2(R)-invariant varieties in the moduli spaces of quadratic differentials and holomorphic 1-forms.
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页码：957 / 990
页数：34
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