Measures of association between algebraic varieties
Algebraic Geometry
2021-12-03 v1
Abstract
This paper begins the exploration of what we call measures of association between two irreducible complex projective varieties of the same dimension. The idea is to study from various points of view the minimal complexity of correspondences between them. We extend to this setting results about degrees of irrationality for hypersurfaces, and we study joint covering invariants for pairs of curves and hypersurfaces. We also propose a number of conjectures and open problems.
Cite
@article{arxiv.2112.00785,
title = {Measures of association between algebraic varieties},
author = {Robert Lazarsfeld and Olivier Martin},
journal= {arXiv preprint arXiv:2112.00785},
year = {2021}
}
Comments
32 pages