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Galois action on the homology of Fermat curves

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Publication:2405231
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DOI10.1007/978-3-319-30976-7_3zbMath1416.11045arXiv1411.4998OpenAlexW5894707MaRDI QIDQ2405231

Vesna Stojanoska, Kirsten Wickelgren, Rachel J. Pries, Rachel Davis

Publication date: 22 September 2017

Full work available at URL: https://arxiv.org/abs/1411.4998


zbMATH Keywords

cyclotomic fieldcohomologyhomologyFermat curveétale fundamental groupGalois module


Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Plane and space curves (14H50) Higher degree equations; Fermat's equation (11D41) Cyclotomic extensions (11R18) Homotopy theory and fundamental groups in algebraic geometry (14F35) Galois cohomology (11R34)


Related Items (6)

Homotopic and geometric Galois theory. Abstracts from the workshop held March 7--13, 2021 (online meeting) ⋮ The Galois action and cohomology of a relative homology group of Fermat curves ⋮ Galois module structure of the units modulo \(p^m\) of cyclic extensions of degree \(p^n\) ⋮ Modular symbols for Fermat curves ⋮ Cohomology groups of Fermat curves via ray class fields of cyclotomic fields ⋮ An Étale realization which does NOT exist






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