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Aug 14, 2012 at 10:52 history edited Franz CC BY-SA 3.0
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Aug 13, 2012 at 22:49 comment added Piotr Achinger A. Klyachko, Equivariant vector bundles on toral varieties, Math. USSR Izv. 35 (1990), 337–375.
Aug 13, 2012 at 22:49 comment added Piotr Achinger It is strange then that they neither check if these bundles are toric nor make reference to Klyachko's article.
Aug 13, 2012 at 22:44 comment added Franz That's interesting, can you give the title of the paper? Nevertheless I think the result of the last reference I gave is a bit more subtle than the result by Klyachko you metionned. Indeed the bundles constructed by these authors are (if I remember correctly) never toric.
Aug 13, 2012 at 22:40 history edited Franz CC BY-SA 3.0
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Aug 13, 2012 at 22:35 comment added Piotr Achinger Concerning the last reference: there is a complete description of toric vector bundles due to Klyachko 1989. In his long paper, among other things, he gives an iff condition for all rank 2 toric vector bundles to be split.
Aug 13, 2012 at 22:33 history edited Franz CC BY-SA 3.0
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Aug 13, 2012 at 15:08 history answered Franz CC BY-SA 3.0