Volume-type functions for numerical cycle classes

Brian Lehmann

doi:10.1215/00127094-3673772

Abstract

A numerical equivalence class of $k$ -cycles is said to be big if it lies in the interior of the closed cone generated by effective classes. We construct analogues for arbitrary cycle classes of the volume function for divisors which distinguishes big classes from boundary classes.

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Brian Lehmann. "Volume-type functions for numerical cycle classes." Duke Math. J. 165 (16) 3147 - 3187, 1 November 2016. https://doi.org/10.1215/00127094-3673772

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Received: 1 October 2014; Revised: 2 January 2016; Published: 1 November 2016

First available in Project Euclid: 22 August 2016

zbMATH: 06666954

MathSciNet: MR3566200

Digital Object Identifier: 10.1215/00127094-3673772

Subjects:

Primary: 14C25

Secondary: 14F43

Keywords: algebraic cycles , numerical equivalence , positivity

Abstract

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