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A note on cubic equivalences

Published online by Cambridge University Press:  22 January 2016

Hiroshi Saito
Hiroshi Saito*
Affiliation:
Department of Mathematics, Faculty of Science, Nagoya University Chikusa-ku, Nagoya 464, Japan
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The present note is intended to be a supplement to [9], in which the following is proven: Let V be a smooth projective variety over the field of complex numbers C, T a smooth quasi-projective variety, Z a cycle in T × V of codimension p. If Z(t) is l-cube equivalent to zero for general t e T, then, setting r = dim V − p,

vanishes for l′ < l, where {tZ} is the correspondence defined by Z.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 101 , March 1986 , pp. 1 - 26
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1986

References

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