Bott towers, crosspolytopes and torus actions

Details Bott towers, crosspolytopes and torus actions Bott towers, crosspolytopes and torus actions

2003-06-03

arxiv.org/abs/math/0306057v1

Mathematics

Algebraic Topology

18 pages

Scientific paper

We study the geometry of Bott towers in the context of toric geometry,
describing their associated fans arising from crosspolytopes. We compute the
cohomology ring of each stage of the tower, and provide all monomial identities
defining related affine toric varieties.

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