Zero loci of admissible normal functions with torsion singularities
Algebraic Geometry
2019-12-19 v1
Abstract
We show that the zero locus of a normal function on a smooth complex algebraic variety S is algebraic provided that the normal function extends to a admissible normal function on a smooth compactification of S with torsion singularity. This result generalizes our previous result for admissible normal functions on curves [arxiv:math/0604345 [math.AG]]. It has also been obtained by M. Saito using a different method in a recent preprint [arXiv:0803.2771v2].
Cite
@article{arxiv.0803.3365,
title = {Zero loci of admissible normal functions with torsion singularities},
author = {Patrick Brosnan and Gregory Pearlstein},
journal= {arXiv preprint arXiv:0803.3365},
year = {2019}
}