Math @ Duke
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Publications [#345577] of Kirsten G. Wickelgren
Papers Published
- Davis, R; Pries, R; Stojanoska, V; Wickelgren, K, The Galois action and cohomology of a relative homology group of Fermat curves,
Journal of Algebra, vol. 505
(July, 2018),
pp. 33-69 [doi]
(last updated on 2022/07/07)
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.
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