Complex multiplication cycles and a conjecture of beilinson and bloch
Journal Article (Journal Article)
A generalization of the conjecture of Birch and Swinnerton-Dyer is investigated using complex multiplication cycles on a particular Kuga fiber variety. A weak finiteness result consistent with the conjecture is proved. The image of complex multiplication cycles under the Abel-Jacobi map is computed explicitly. The results provide numerical evidence supporting the conjecture.They also give evidence for a relationship between complex multiplication cycles and a modular form of weight 5/2 and raise questions for further ind. © 1993 American Mathematical Society.
Full Text
Duke Authors
Cited Authors
- Schoen, C
Published Date
- January 1, 1993
Published In
Volume / Issue
- 339 / 1
Start / End Page
- 87 - 115
International Standard Serial Number (ISSN)
- 0002-9947
Digital Object Identifier (DOI)
- 10.1090/S0002-9947-1993-1107030-6
Citation Source
- Scopus