An Exponential History of Functions with Logarithmic Growth
arXiv:0903.4903
Abstract
We survey recent work on normal functions, including limits and singularities of admissible normal functions, the Griffiths-Green approach to the Hodge conjecture, algebraicity of the zero-locus of a normal function, Neron models, and Mumford-Tate groups. Some of the material and many of the examples, esp. in sec. 5-6, are original. The first two sections should be easily accessible to graduate students.
97 pages, 10 figures; to appear in Proceedings of MSRI Conference on Topology of Stratified Spaces; substantial revisions with new results on Neron models included
References in corpus (7)
- The Abel-Jacobi Map for Higher Chow Groups, II
- Hausdorff property of the Neron models of Green, Griffiths and Kerr
- A generalization of the Neron models of Green, Griffiths and Kerr
- Two observations about normal functions
- Cohomology classes of admissible normal functions
- Local duality and mixed Hodge modules
- Log intermediate Jacobians
Cited by in corpus (6)
- Normal Functions and the Geometry of Moduli Spaces of Curves
- Calculations for Mirror Symmetry with D-branes
- Boundary Components of Mumford-Tate Domains
- Normal functions for algebraically trivial cycles are algebraic for arithmetic reasons
- Normal Functions over Locally Symmetric Varieties
- Limits and Singularities of Normal Functions