Buchstaber invariants of skeleta of a simplex
Buchstaber invariants of skeleta of a simplex
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DOI：
10.18910/3726
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发表时间：
2009-08
影响因子：
0.4
通讯作者：
Yukiko Fukukawa;M. Masuda
中科院分区：
文献类型：
--
作者：
Yukiko Fukukawa;M. Masuda
Amoment-angle complex ZK is a compact topological space associated with a finite simplicial complexK. It is realized as a subspace of a polydisk (D), where m is the number of vertices in K and D is the unit disk of the complex numbers C, and the natural action of a torus (S) on (D) leaves ZK invariant. The Buchstaber invariant s(K) of K is the maximum integer for which there is a subtorus of rank s(K) acting on ZK freely. The story above goes over the real numbers R in place of C and a real analogue of the Buchstaber invariant, denoted sR(K), can be defined for K and s(K) 5 sR(K). In this paper we will make some computations of sR(K) when K is a skeleton of a simplex. We take two approaches to find sR(K) and the latter one turns out to be a problem of integer linear programming and of independent interest.
