Conjectural relations in the tautological ring of $\bar{M}_{g,n}$

Conjectural relations in the tautological ring of $\bar{M}_{g,n}$
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发表时间:
2012-07
期刊:
arXiv: Algebraic Geometry
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通讯作者:
A. Pixton
A. Pixton
中科院分区:
其他
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作者:
A. Pixton

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本文描述了亏格为g的稳定曲线的模空间M g,n的重言式环中的一类非常大的拓扑关系,推广和推广了Faber-Zagier关系.这些笔记大致基于作者在2012年4月于KTH斯德哥尔摩举行的关于“曲线的模空间及其相交理论”的研讨会上的非正式演讲。
We describe a very large class of conjectural relations in the tautological ring of the moduli space $\bar{M}_{g,n}$ of stable curves of genus $g$ with $n$ marked points, extending and generalizing the Faber-Zagier relations. These notes are loosely based on informal talks given by the author at the workshop at KTH Stockholm on "The moduli space of curves and its intersection theory" in April 2012.