Binary Hermitian forms over a cyclotomic field

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dc.creatorYasaki, Dan
dc.date2009-01-21
dc.date.accessioned2026-07-07T12:32:38Z
dc.date.available2026-07-07T12:32:38Z
dc.descriptionLet z be a primitive fifth root of unity and let F be the cyclotomic field F=Q(z). Let O be the ring of integers. We compute the Voronoi polyhedron of binary Hermitian forms over F and classify GL_2(O)-conjugacy classes of perfect forms. The combinatorial data of this polyhedron can be used to compute the cohomology of the arithmetic group GL_2(O) and Hecke eigen forms.
dc.description11 pages, 1 table
dc.identifierhttps://arxiv.org/abs/0901.3346
dc.identifierhttp://arxiv.org/abs/0901.3346
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216843
dc.subjectNumber Theory
dc.subject11H55;53C35
dc.titleBinary Hermitian forms over a cyclotomic field
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