Normal functions for algebraically trivial cycles are algebraic for arithmetic reasons
arXiv:1810.07404 · doi:10.1017/fms.2019.34
Abstract
For families of smooth complex projective varieties we show that normal functions arising from algebraically trivial cycle classes are algebraic, and defined over the field of definition of the family. In particular, the zero loci of those functions are algebraic and defined over such a field of definition. This proves a conjecture of Charles.
arXiv commentNew title. 15 pages
References in corpus (6)
- Torelli Groups and Geometry of Moduli Spaces of Curves
- An Exponential History of Functions with Logarithmic Growth
- On descending cohomology geometrically
- Parameter spaces for algebraic equivalence
- Distinguished models of intermediate Jacobians
- Progrès récents sur les fonctions normales (d'après Green-Griffiths, Brosnan-Pearlstein, M. Saito, Schnell...)