## The Galois action and cohomology of a relative homology group of Fermat curves

Publication
, Journal Article

Davis, R; Pries, R; Stojanoska, V; Wickelgren, K

Published in: Journal of Algebra

July 1, 2018

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.

### Duke Scholars

## Published In

Journal of Algebra

## DOI

## EISSN

1090-266X

## ISSN

0021-8693

## Publication Date

July 1, 2018

## Volume

505

## Start / End Page

33 / 69

## Related Subject Headings

- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 0101 Pure Mathematics

### Citation

APA

Chicago

ICMJE

MLA

NLM

Davis, R., Pries, R., Stojanoska, V., & Wickelgren, K. (2018). The Galois action and cohomology of a relative homology group of Fermat curves.

*Journal of Algebra*,*505*, 33–69. https://doi.org/10.1016/j.jalgebra.2018.02.021Davis, R., R. Pries, V. Stojanoska, and K. Wickelgren. “The Galois action and cohomology of a relative homology group of Fermat curves.”

*Journal of Algebra*505 (July 1, 2018): 33–69. https://doi.org/10.1016/j.jalgebra.2018.02.021.Davis R, Pries R, Stojanoska V, Wickelgren K. The Galois action and cohomology of a relative homology group of Fermat curves. Journal of Algebra. 2018 Jul 1;505:33–69.

Davis, R., et al. “The Galois action and cohomology of a relative homology group of Fermat curves.”

*Journal of Algebra*, vol. 505, July 2018, pp. 33–69.*Scopus*, doi:10.1016/j.jalgebra.2018.02.021.Davis R, Pries R, Stojanoska V, Wickelgren K. The Galois action and cohomology of a relative homology group of Fermat curves. Journal of Algebra. 2018 Jul 1;505:33–69.

## Published In

Journal of Algebra

## DOI

## EISSN

1090-266X

## ISSN

0021-8693

## Publication Date

July 1, 2018

## Volume

505

## Start / End Page

33 / 69

## Related Subject Headings

- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 0101 Pure Mathematics