Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Single-Class Genera of Positive Integral Lattices   We give an enumeration of all positive definite primitive Z-lattices in
dimension >= 3 whose genus consists of a single isometry class. This is
achieved by using bounds obtained from the Smith-Minkowski-Siegel mass formula
to computationally construct the square-free determinant lattices with this
property, and then repeatedly calculating pre-images under a mapping first
introduced by G. L. Watson. We hereby complete the classification of
single-class genera in dimensions 4 and 5 and correct some mistakes in Watson's
classifications in other dimensions. A list of all single-class primitive
Z-lattices has been compiled and incorporated into the Catalogue of Lattices.

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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an