Genus of a quadratic form

In mathematics, the genus is a classification of quadratic forms and lattices over the ring of integers.

An integral quadratic form is a quadratic form on Z, or more generally a free Z-module of finite rank. Two such forms are in the same genus if they are equivalent over the local rings Z_p for each prime p and also equivalent over R.

单词	Genus of a quadratic form
释义	Genus of a quadratic form 英语百科 Genus of a quadratic form In mathematics, the genus is a classification of quadratic forms and lattices over the ring of integers. An integral quadratic form is a quadratic form on Z, or more generally a free Z-module of finite rank. Two such forms are in the same genus if they are equivalent over the local rings Z_p for each prime p and also equivalent over R.
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