Group schemes and local densities of quadratic lattices in residue characteristic 2

DOI10.1112/S0010437X14007829zbMath1322.11030arXiv1210.7625OpenAlexW1997325577MaRDI QIDQ5259729

Sungmun Cho

Publication date: 29 June 2015

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7625

zbMATH Keywords

group schemeslocal densitiesmass formulaquadratic latticessmooth integral models

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Class numbers of quadratic and Hermitian forms (11E41) Classical groups (11E57) Linear algebraic groups over local fields and their integers (20G25) (p)-adic theory (11E95) Group schemes (14L15)

Related Items (6)

Arithmetic volumes for lattices over \(p\)-adic rings ⋮ Most odd-degree binary forms fail to primitively represent a square ⋮ On the local density formula and the Gross-Keating invariant with an appendix `The local density of a binary quadratic form' by T. Ikeda and H. Katsurada ⋮ Transfer and local density for Hermitian lattices ⋮ Group schemes and local densities of ramified Hermitian lattices in residue characteristic 2. II. ⋮ A reformulation of the Siegel series and intersection numbers

Cites Work

• Local densities of representations of quadratic forms over \(p\)-adic integers (the non-dyadic case)
• Group schemes and local densities.
• Low-dimensional lattices. IV. The mass formula
• The 2‐adic density of a quadratic form
• Quadratic Forms Over Local Fields

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