most citedPerfect forms over totally real number fields

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math.NT2009★ 1 cited

Perfect forms over totally real number fields

Paul E. Gunnells, Dan Yasaki

A rational positive-definite quadratic form is perfect if it can be reconstructed from the knowledge of its minimal nonzero value m and the finite set of integral vectors v such th…

math.NT2009

Hyperbolic tessellations associated to Bianchi groups

Dan Yasaki

Let F/Q be number field. The space of positive definite binary Hermitian forms over F form an open cone in a real vector space. There is a natural decomposition of this cone into s…

math.NT2009

Binary Hermitian forms over a cyclotomic field

Dan Yasaki

Let 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…