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arxiv: 1904.04518 · v1 · pith:PDLR52CNnew · submitted 2019-04-09 · 🧮 math.NT

Determinant groups of hermitian lattices over local fields

classification 🧮 math.NT
keywords hermitianlatticesfieldsgroupslocalautomorphismcomputedescribe
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We describe the determinants of the automorphism groups of hermitian lattices over local fields. Using a result of G. Shimura, this yields an explicit method to compute the special genera in a given genus of hermitian lattices over a number field.

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