On the algebraicity of the zero locus of an admissible normal function Academic Article uri icon

abstract

  • AbstractWe show that the zero locus of an admissible normal function on a smooth complex algebraic variety is algebraic. In PartII of the paper, which is an appendix, we compute the Tannakian Galois group of the category of one-variable admissible real nilpotent orbits with split limit. We then use the answer to recover an unpublished theorem of Deligne, which characterizes the ${mathrm{sl} }_{2} $-splitting of a real mixed Hodge structure.

published proceedings

  • Compositio Mathematica

author list (cited authors)

  • Brosnan, P., & Pearlstein, G.

citation count

  • 14

complete list of authors

  • Brosnan, Patrick||Pearlstein, Gregory

publication date

  • November 2013

publisher