English

Volume-type functions for numerical cycle classes

Algebraic Geometry 2017-02-22 v1

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.

Keywords

Cite

@article{arxiv.1601.03276,
  title  = {Volume-type functions for numerical cycle classes},
  author = {Brian Lehmann},
  journal= {arXiv preprint arXiv:1601.03276},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T12:28:42.591Z