Zero Loci of Admissible Normal Functions with Torsion Singularities

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 S̄ of S with S̄\S smooth. This result generalizes our previous result for admissible normal functions on curves [4]. It has also been obtained by M. Saito… CONTINUE READING