| dc.creator |
Civan, Yusuf |
|
| dc.date |
2005-05-31T21:00:00Z |
|
| dc.date.accessioned |
2020-10-06T11:22:32Z |
|
| dc.date.available |
2020-10-06T11:22:32Z |
|
| dc.identifier |
c26c9b3a-334e-46ce-b7c9-7ce90aa8aebc |
|
| dc.identifier |
10.1007/s10711-005-1725-y |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/c26c9b3a-334e-46ce-b7c9-7ce90aa8aebc/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/71280 |
|
| dc.description |
We study the geometry and topology of Bott towers in the context of toric geometry. We show that any kth stage of a Bott tower is a smooth projective toric variety associated to a fan arising from a crosspolytope; conversely, we prove that any toric variety associated to a fan obtained from a crosspolytope actually gives rise to a Bott tower. The former leads us to a description of the tangent bundle of the kth stage of the tower, considered as a complex manifold, which splits into a sum of complex line bundles. Applying Danilov-Jurkiewicz theorem, we compute the cohomology ring of any kth stage, and by way of construction, we provide all the monomial identities defining the related affine toric varieties. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
Bott towers, crosspolytopes and torus actions |
|
| dc.type |
info:eu-repo/semantics/article |
|