Abstract

Abstract:

Let $B$ be a half-integral symmetric matrix of size $n$ defined over ${\Bbb Q}_p$. The Gross-Keating invariant of $B$ was defined by Gross and Keating, and has important applications to arithmetic geometry. But the nature of the Gross-Keating invariant was not understood very well for $n\geq 4$. In this paper, we establish basic properties of the Gross-Keating invariant of a half-integral symmetric matrix of general size over an arbitrary non-archimedean local field of characteristic zero.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1521-1565
Launched on MUSE
2018-11-20
Open Access
No
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