Binary Hermitian forms over a cyclotomic field |
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Authors: | Dan Yasaki |
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Institution: | aDepartment of Mathematics and Statistics, 146 Petty Building, University of North Carolina at Greensboro, Greensboro, NC 27402-6170, United States |
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Abstract: | Let ζ be a primitive fifth root of unity and let F be the cyclotomic field . Let be the ring of integers. We compute the Voronoï polyhedron of binary Hermitian forms over F and classify -conjugacy classes of perfect forms. The combinatorial data of this polyhedron can be used to compute the cohomology of the arithmetic group and Hecke eigenforms. |
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Keywords: | Voronoï polyhedron Hermitian forms Perfect forms |
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