Abstract
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.
Original language | English (US) |
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Pages (from-to) | 33-69 |
Number of pages | 37 |
Journal | Journal of Algebra |
Volume | 505 |
DOIs | |
State | Published - Jul 1 2018 |
Keywords
- Cohomology
- Cyclotomic field
- Fermat curve
- Galois module
- Hochschild–Serre spectral sequence
- Homology
- Resolution
- Étale fundamental group
ASJC Scopus subject areas
- Algebra and Number Theory