dc.contributor.author |
Al-Sabbagh, Mutaz |
|
dc.date.accessioned |
2018-07-25T10:11:47Z |
|
dc.date.available |
2018-07-25T10:11:47Z |
|
dc.date.issued |
2009 |
|
dc.identifier.issn |
1815-3852 |
|
dc.identifier.uri |
https://journal.uob.edu.bh:443/handle/123456789/738 |
|
dc.description.abstract |
Let m be the m-dimensional projective space over the field of complex numbers acted on by the algebraic torus T m 1 . Let X be an equivariantly embedded variety in m via the map , i.e., is an embedding and t . x X whenever t T and x X . We begin a study of T-equivariant rational equivalence of T-equivariant cycles on a B-variety X, namely a non-singular projective variety with an action of a torus T m 1 with many fixed points. First, we compute the T-equivariant Picard group of such a variety with the help of fixed point and their associated characters. This result is then applied to study more generally Tequivariant rational equivalence of T-equivariant cycles. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
University of Bahrain |
en_US |
dc.rights |
Attribution-NonCommercial-ShareAlike 4.0 International |
* |
dc.rights.uri |
http://creativecommons.org/licenses/by-nc-sa/4.0/ |
* |
dc.title |
On T-Equivariant Rational Equivalence of T-Equivariant Cycles |
en_US |
dc.type |
Article |
en_US |
dc.source.title |
Arab Journal of Basic and Applied Sciences |
|
dc.abbreviatedsourcetitle |
AJBAS |
|