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arXiv · 0803.3365

Zero loci of admissible normal functions with torsion singularities

Patrick Brosnan·Gregory Pearlstein
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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].

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Patrick Brosnan, Gregory Pearlstein. 2008-03-24. Zero loci of admissible normal functions with torsion singularities. https://doi.org/10.1215/00127094-2009-047

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