paper

Volume-type functions for numerical cycle classes

arXiv:1601.03276 · 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.

34 pages; revised version of half of the previous arxiv:1309.0880