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Results tagged with hyperplane-arrangements
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user 21291
A hyperplane arrangement is a set of hyperplanes in a vector space or in a projective space. The complement of the union of these hyperplanes defines an algebraic variety, with interesting geometry and topology.
8
votes
Bijection directly from (n,n+1)-core partitions to parking functions?
Increasing parking functions are in (more or less canonical) bijection with Dyck paths (see, e.g., here), so your question can be rephrased as
Is there a direct bijection between (n,n+1)-cores and Dy …
- 3,271
11
votes
Accepted
Hyperplane arrangements whose regions all have the same shape
This is a known open problem (for isometric regions), which, as far as I know, is still not settled.
The dimension 3 case was proved affirmatively in https://arxiv.org/abs/1501.05991, where also some …
- 3,271