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

Open Mathematics (2009)

- Volume: 7, Issue: 4, page 606-616
- ISSN: 2391-5455

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topCristian González-Avilés. "Finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves." Open Mathematics 7.4 (2009): 606-616. <http://eudml.org/doc/269438>.

@article{CristianGonzález2009,

abstract = {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.},

author = {Cristian González-Avilés},

journal = {Open Mathematics},

keywords = {Chow groups; Quadrics; Curves; quadrics; curves},

language = {eng},

number = {4},

pages = {606-616},

title = {Finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves},

url = {http://eudml.org/doc/269438},

volume = {7},

year = {2009},

}

TY - JOUR

AU - Cristian González-Avilés

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

JO - Open Mathematics

PY - 2009

VL - 7

IS - 4

SP - 606

EP - 616

AB - 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.

LA - eng

KW - Chow groups; Quadrics; Curves; quadrics; curves

UR - http://eudml.org/doc/269438

ER -

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