Determinant groups of Hermitian lattices over local fields

DOI10.1007/s00013-019-01348-zzbMath1461.11059arXiv1904.04518OpenAlexW2963622115WikidataQ127737279 ScholiaQ127737279MaRDI QIDQ2274003

Markus Kirschmer

Publication date: 19 September 2019

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.04518

zbMATH Keywords

determinantgenusHermitian latticespecial genus

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57) Bilinear and Hermitian forms (11E39) Class numbers of quadratic and Hermitian forms (11E41)

Related Items (3)

Generation of local unitary groups ⋮ Finite subgroups of automorphisms of K3 surfaces ⋮ Spanning the isogeny class of a power of an elliptic curve

Cites Work

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• Klassenzahlen indefiniter quadratischer Formen in drei oder mehr Veränderlichen
• Ternary quadratic forms over number fields with small class number
• Classification of Hermitian forms with the neighbour method
• Computing isometries of lattices
• Integral spinor norm groups over dyadic local fields.
• Arithmetic of unitary groups
• Transformations of a Quadratic Form Which Do Not Increase the Class-Number
• Integral representations of hermitian forms over local fields.
• The Growth of Class Numbers of Quadratic Forms
• Hermitian Forms Over Local Fields

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