Polar Transform and Local Positivity for Curves
Algebraic Geometry
2017-07-21 v1 Complex Variables
Abstract
Using the duality of positive cones, we show that applying the polar transform from convex analysis to local positivity invariants for divisors gives interesting and new local positivity invariants for curves. These new invariants have nice properties similar to those for divisors. In particular, this enables us to give a characterization of the divisorial components of the non-Kahler locus of a big class.
Cite
@article{arxiv.1707.06349,
title = {Polar Transform and Local Positivity for Curves},
author = {Nicholas McCleerey and Jian Xiao},
journal= {arXiv preprint arXiv:1707.06349},
year = {2017}
}
Comments
14 pages