Representations of cyclic groups acting on complete simplicial fans

Details Representations of cyclic groups acting on complete simplicial fans Representations of cyclic groups acting on complete simplicial fans

2008-10-30

arxiv.org/abs/0810.5520v1

Mathematics

Combinatorics

14 pages

Scientific paper

Let $sigma$ be a complete simplicial fan in finite dimensional real Euclidean
space $V$, and let $G$ be a cyclic subgroup of $GL(V)$ which acts properly on
$\sigma$. We show that the representation of $G$ carried by the cohomology of
$X_{sigma}$, the toric variety associated to $sigma$, is a permutation
representation.

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