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

Full text: dvi.gz 26 k, dvi 85 k, ps.gz 2529 k, pdf.gz 158 k, pdf 182 k.

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