Realization Spaces for Tropical Fans
Realization Spaces for Tropical Fans
复制标题
热带爱好者的实现空间
DOI：
10.1007/978-3-642-19492-4_6
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
S. Payne
中科院分区：
文献类型：
--
作者：
Eric Katz;S. Payne
我们引入一个模函子的品种，其热带化实现了一个给定的加权风扇，并表明，这个函子是一个代数空间一般，并表示由一个计划时，相关联的环面品种是quasiprojective。我们研究了Ardila和Klivans研究的拟阵迷的热带实现空间的几何，并证明了拟阵迷的热带实现空间是拟阵实现空间上的环面torsor。因此，我们推断，这些热带实现空间满足墨菲定律。
We introduce a moduli functor for varieties whose tropicalization realizes a given weighted fan and show that this functor is an algebraic space in general, and is represented by a scheme when the associated toric variety is quasiprojective. We study the geometry of these tropical realization spaces for the matroid fans studied by Ardila and Klivans, and show that the tropical realization space of a matroid fan is a torus torsor over the realization space of the matroid. As a consequence, we deduce that these tropical realization spaces satisfy Murphy’s Law.