Torsion in CH of Severi-Brauer varieties and indecomposability of generic algebras
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چکیده
We compute degrees of algebraic cycles on certain Severi-Brauer varieties and apply it to show that: a generic division algebra of index p and exponent p is not decomposable (in a tensor product of two algebras) for any prime p and any α except the case when p = 2 and 2 | α; the 2-codimensional Chow group CH of the Severi-Brauer variety corresponding to the generic division algebra of index 8 and exponent 2 has a non-trivial torsion.
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تاریخ انتشار 2016