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A weak Lefschetz result for Chow groups of complete intersections

Part of: Cycles and subschemes $K$-theory in geometry

Published online by Cambridge University Press:  28 December 2020

James Lewis  and
Jenan Shtayat
James Lewis*
Affiliation:
Department of Mathematical and Statistical Sciences, University of Alberta, 632 Central Academic Building Edmonton AB T6G 2G1, Canada
Jenan Shtayat
Affiliation:
Department of Mathematics, Yarmouk University, Irbid, Jordan e-mail: jenan@yu.edu.jo
*
e-mail: lewisjd@ualberta.ca
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Abstract

We introduce a weak Lefschetz-type result on Chow groups of complete intersections. As an application, we can reproduce some of the results in [P]. The purpose of this paper is not to reproduce all of [P] but rather illustrate why the aforementioned weak Lefschetz result is an interesting idea worth exploiting in itself. We hope the reader agrees.

Keywords

Chow groupalgebraic cycleFano varietycomplete intersection

MSC classification

Primary: 14C35: Applications of methods of algebraic $K$-theory 14C25: Algebraic cycles 19E15: Algebraic cycles and motivic cohomology
Secondary: 14C30: Transcendental methods, Hodge theory , Hodge conjecture

Information

Type
Article
Information
Canadian Mathematical Bulletin , Volume 64 , Issue 4 , December 2021 , pp. 1014 - 1023
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Copyright
© Canadian Mathematical Bulletin 2020

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Footnotes

The first author was partially supported by a grant from the Natural Sciences and Engineering Research Council of Canada.

References

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