English

Positive cones of dual cycle classes

Algebraic Geometry 2016-01-14 v2

Abstract

We study generalizations for higher codimension cycles of several well-known definitions of the nef cone of divisors on a projective variety. These generalizations fix some of the pathologies exhibited by the classical nef cone of higher codimension classes. As an application, we recover the expected properties of the pseudoeffective cones Effk(X)\overline{Eff}_{k}(X) for all k.

Keywords

Cite

@article{arxiv.1408.5154,
  title  = {Positive cones of dual cycle classes},
  author = {Mihai Fulger and Brian Lehmann},
  journal= {arXiv preprint arXiv:1408.5154},
  year   = {2016}
}

Comments

25 pages, v2: minor changes

R2 v1 2026-06-22T05:36:08.145Z