Iitaka dimension for cycles
Algebraic Geometry
2017-08-11 v1
Abstract
We define the Iitaka dimension of a numerical cycle class and develop its theory. We conjecture that the Iitaka dimension is integer-valued, and give some evidence in this direction. We focus on two cases of geometric interest: Schubert cycles on Grassmannians and cycles contracted by morphisms.
Keywords
Cite
@article{arxiv.1708.02957,
title = {Iitaka dimension for cycles},
author = {Brian Lehmann},
journal= {arXiv preprint arXiv:1708.02957},
year = {2017}
}
Comments
24 pages