The Galois action and cohomology of a relative homology group of Fermat curves
Journal Article
© 2018 Elsevier Inc. For an odd prime p satisfying Vandiver's conjecture, we give explicit formulae for the action of the absolute Galois group GQ(ζp) on the homology of the degree p Fermat curve, building on work of Anderson. Further, we study the invariants and the first Galois cohomology group which are associated with obstructions to rational points on the Fermat curve.
Full Text
Duke Authors
Cited Authors
- Davis, R; Pries, R; Stojanoska, V; Wickelgren, K
Published Date
- July 1, 2018
Published In
Volume / Issue
- 505 /
Start / End Page
- 33 - 69
Electronic International Standard Serial Number (EISSN)
- 1090-266X
International Standard Serial Number (ISSN)
- 0021-8693
Digital Object Identifier (DOI)
- 10.1016/j.jalgebra.2018.02.021
Citation Source
- Scopus