Publications [#345577] of Kirsten G. Wickelgren

Papers Published

1. 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 2026/01/21)

   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.