Zero loci of admissible normal functions with torsion singularities Academic Article uri icon

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 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]. © 2009.

author list (cited authors)

  • Brosnan, P., & Pearlstein, G.

citation count

  • 4

complete list of authors

  • Brosnan, Patrick||Pearlstein, Gregory

publication date

  • October 2009