Zero loci of admissible normal functions with torsion singularities
Brosnan, Patrick ; Pearlstein, Gregory
Duke Math. J., Tome 146 (2009) no. 1, p. 77-100 / Harvested from Project Euclid
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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 an admissible normal function on a smooth compactification such that the divisor at infinity is also smooth. This result, which has also been obtained recently by M. Saito using a different method [22], generalizes a previous result proved by the authors for admissible normal functions on curves [4]
Publié le : 2009-10-01
Classification:  32G20,  14D07,  14D05 
@article{1253020545,
     author = {Brosnan, Patrick and Pearlstein, Gregory},
     title = {Zero loci of admissible normal functions with torsion singularities},
     journal = {Duke Math. J.},
     volume = {146},
     number = {1},
     year = {2009},
     pages = { 77-100},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1253020545}
}

Brosnan, Patrick; Pearlstein, Gregory. Zero loci of admissible normal functions with torsion singularities. Duke Math. J., Tome 146 (2009) no. 1, pp.  77-100. http://gdmltest.u-ga.fr/item/1253020545/