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• W2034854909 abstract "Abstract Suppose Q is a definite quadratic form on a vector space V over some totally real field K ≠ Q . Then the maximal integral Z K -lattices in ( V , Q ) are locally isometric everywhere and hence form a single genus. We enumerate all orthogonal spaces ( V , Q ) of dimension at least 3, where the corresponding genus of maximal integral lattices consists of a single isometry class. It turns out, there are 471 such genera. Moreover, the dimension of V and the degree of K are bounded by 6 and 5 respectively. This classification also yields all maximal quaternion orders of type number one." @default.
• W2034854909 created "2016-06-24" @default.
• W2034854909 creator A5052450959 @default.
• W2034854909 date "2014-03-01" @default.
• W2034854909 modified "2023-10-17" @default.
• W2034854909 title "One-class genera of maximal integral quadratic forms" @default.
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• W2034854909 doi "https://doi.org/10.1016/j.jnt.2013.10.007" @default.
• W2034854909 hasPublicationYear "2014" @default.
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