Zero-dimension Chow group of fibrations in Severi-Brauer varieties

被引：8

作者：

Frossard, E ^{[1
]}

机构：

[1] Univ Paris Sud, Dept Math, F-91405 Orsay, France

来源：

COMPOSITIO MATHEMATICA | 1998年 / 110卷 / 02期

关键词：

Chow groups; algebraic cycles; arithmetic finiteness theorem; Galois cohomology;

D O I：

10.1023/A:1000283524585

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study here the O-dimension Chow group of some particular smooth varieties which are fibrations over curves (i.e. are equipped with a proper, surjective morphism over a smooth curve). We obtain finiteness results for fibrations, whose generic fibres are Severi-Brauer varieties of squarefree index, when the ground field is a number field (or in some particular cases a finitely generated held over Q).

引用

页码：187 / 213

页数：27

共 38 条

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Baek, Sanghoon
[J]. ISRAEL JOURNAL OF MATHEMATICS, 2015, 207 (02) : 899 - 923
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Frossard, E
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Baek, Sanghoon
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Mackall, Eoin
[J]. NEW YORK JOURNAL OF MATHEMATICS, 2020, 26 : 1155 - 1183
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[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2003, 68 : 317 - 337
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Matzri, Eliyahu
[J]. COMMUNICATIONS IN ALGEBRA, 2020, 48 (02) : 484 - 489

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