Determinant groups of hermitian lattices over local fields

Markus Kirschmer

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arXiv · 1904.04518

Determinant groups of hermitian lattices over local fields

Markus Kirschmer

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Abstract

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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Markus Kirschmer. 2019-04-09. Determinant groups of hermitian lattices over local fields. https://arxiv.org/abs/1904.04518

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