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2021 Two coniveau filtrations
Olivier Benoist, John Christian Ottem
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Duke Math. J. Advance Publication 1-35 (2021). DOI: 10.1215/00127094-2021-0055

Abstract

A cohomology class of a smooth complex variety of dimension n has coniveau at least c if it vanishes in the complement of a closed subvariety of codimension at least c, and it has strong coniveau at least c if it comes by proper pushforward from the cohomology of a smooth variety of dimension at most nc. We show that these two notions differ in general, both for integral classes on smooth projective varieties and for rational classes on smooth open varieties.

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Olivier Benoist. John Christian Ottem. "Two coniveau filtrations." Duke Math. J. Advance Publication 1 - 35, 2021. https://doi.org/10.1215/00127094-2021-0055

Information

Received: 18 March 2020; Revised: 18 September 2020; Published: 2021
First available in Project Euclid: 22 July 2021

Digital Object Identifier: 10.1215/00127094-2021-0055

Subjects:
Primary: 14C30
Secondary: 14C25, 14F45, 55S10, 57N70

Rights: Copyright © 2021 Duke University Press

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