MODULI SPACES OF RATIONAL WEIGHTED STABLE CURVES AND TROPICAL GEOMETRY
MODULI SPACES OF RATIONAL WEIGHTED STABLE CURVES AND TROPICAL GEOMETRY
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有理加权稳定曲线模空间和热带几何
DOI：
10.1017/fms.2016.7
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Dhruv Ranganathan
中科院分区：
文献类型：
--
作者：
R. Cavalieri;Simon Hampe;H. Markwig;Dhruv Ranganathan
我们研究了有理加权稳定热带曲线的模空间，以及它们与Hassett空间的联系。给定一个权向量w，热带w-稳定曲线的模空间可以给出平衡扇的结构当且仅当w只有重元素和轻元素.在这种情况下，热带模空间可以表示为显式图拟阵的Bergman扇。热带模空间可以实现为几何热带化，也可以实现为伯科维奇骨架，即其代数对应物。这是建立在Tevelev，Gibney和Maclagan以及Abramovich，Caporaso和Payne之前的工作基础上的。最后，我们构造的模空间的重/轻加权热带曲线作为纤维产品的未加权空间，并探讨平行的代数世界。
We study moduli spaces of rational weighted stable tropical curves, and their connections with Hassett spaces. Given a vector $w$ of weights, the moduli space of tropical $w$ -stable curves can be given the structure of a balanced fan if and only if $w$ has only heavy and light entries. In this case, the tropical moduli space can be expressed as the Bergman fan of an explicit graphic matroid. The tropical moduli space can be realized as a geometric tropicalization, and as a Berkovich skeleton, its algebraic counterpart. This builds on previous work of Tevelev, Gibney and Maclagan, and Abramovich, Caporaso and Payne. Finally, we construct the moduli spaces of heavy/light weighted tropical curves as fibre products of unweighted spaces, and explore parallels with the algebraic world.
热带拟阵品种和周期交叉点的对角线
影响因子：
1.1
作者：
G. François;J. Rau
通讯作者：
J. Rau