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Published in 2018 at "Nagoya Mathematical Journal"
DOI: 10.1017/nmj.2018.32
Abstract: In this paper, we construct surfaces in $\mathbf{P}^{3}$ with large higher Chow groups defined over a Laurent power series field. Explicit elements in higher Chow group are constructed using configurations of lines contained in the…
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Keywords:
surfaces large;
chow groups;
higher chow;
construction surfaces ... See more keywords
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Published in 2020 at "Journal of the Institute of Mathematics of Jussieu"
DOI: 10.1017/s1474748020000055
Abstract: Abstract The purpose of this note is to establish isomorphisms up to bounded torsion between relative $K_{0}$ -groups and Chow groups with modulus as defined by Binda and Saito.
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Keywords:
chow groups;
groups chow;
torsion relative;
isomorphisms bounded ... See more keywords
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Published in 2020 at "Canadian Mathematical Bulletin"
DOI: 10.4153/s0008439520001022
Abstract: 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…
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Keywords:
chow groups;
complete intersections;
result chow;
weak lefschetz ... See more keywords