We show that the zero locus of an admissible normal function on a smooth complex algebraic variety is algebraic. In Part II 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 We then use the answer to recover an unpublished theorem of Deligne, which characterizes the sl2-splitting of a real mixed Hodge structure. © © The Author(s) 2013.
On the algebraicity of the zero locus of an admissible normal function
Pearlstein G.Co-primo
2013-01-01
Abstract
We show that the zero locus of an admissible normal function on a smooth complex algebraic variety is algebraic. In Part II 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 We then use the answer to recover an unpublished theorem of Deligne, which characterizes the sl2-splitting of a real mixed Hodge structure. © © The Author(s) 2013.File in questo prodotto:
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