Construction of Arakelov-modular Lattices over Totally Definite Quaternion Algebras
Hou, Xiaolu
Original · EN
We study ideal lattices constructed from totally definite quaternion algebras over totally real number fields, and generalize the definition of Arakelov-modular lattices over number fields. In particular, we prove for the case where the totally real number field is Q, that for ℓ a prime integer, there always exists a totally definite quaternion over Q from which an Arakelov-modular lattice of level ℓ can be constructed.
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