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

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

Author Kirsten Graham Wickelgren Mathematics