Finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves

• Autorzy: Cristian González-Avilés
• Języki publikacji: EN

Abstrakty

EN

We obtain finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves over perfect fields. For example, if k is finitely generated over ℚ and X → C is a quadric fibration of odd relative dimension at least 11, then CH i(X) is finitely generated for i ≤ 4.

Słowa kluczowe

EN

Chow groups; Quadrics; Curves

Kategorie tematyczne

• 14C15: (Equivariant) Chow groups and rings; motives
• 14C25: Algebraic cycles

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 4
• Strony: 606-616

Daty

wydano

2009-12-01

online

2009-10-31

Twórcy

autor

Cristian González-Avilés

• Departamento de Matemáticas, Universidad de La Serena, La Serena, Chile

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-009-0043-2