fino@im.unam.mx
Submission: 2016, Nov 14
We prove a result comparing the rationality of some \textit{elementary} algebraic cycles introduced by Alexander Vishik, defined on orthogonal grassmannians, with the rationality of some algebraic cycles defined on fiber products of the corresponding quadric. %It is then applied to relate the rationality of these elementary cycles with the first Witt index of the quadric.
2010 Mathematics Subject Classification: 14C25; 11E39
Keywords and Phrases: Chow groups, quadratic forms, orthogonal flag varieties
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