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Search: MSC category 14C15 ( (Equivariant) Chow groups and rings; motives )

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1. CMB 2008 (vol 51 pp. 283)

Ravindra, G. V.
 The Noether--Lefschetz Theorem Via Vanishing of Coherent Cohomology We prove that for a generic hypersurface in \$\mathbb P^{2n+1}\$ of degree at least \$2+2/n\$, the \$n\$-th Picard number is one. The proof is algebraic in nature and follows from certain coherent cohomology vanishing. Keywords:Noether--Lefschetz, algebraic cycles, Picard numberCategories:14C15, 14C25

2. CMB 2008 (vol 51 pp. 114)

Petrov, V.; Semenov, N.; Zainoulline, K.
 Zero Cycles on a Twisted Cayley Plane Let \$k\$ be a field of characteristic not \$2,3\$. Let \$G\$ be an exceptional simple algebraic group over \$k\$ of type \$\F\$, \$^1{\E_6}\$ or \$\E_7\$ with trivial Tits algebras. Let \$X\$ be a projective \$G\$-homogeneous variety. If \$G\$ is of type \$\E_7\$, we assume in addition that the respective parabolic subgroup is of type \$P_7\$. The main result of the paper says that the degree map on the group of zero cycles of \$X\$ is injective. Categories:20G15, 14C15