Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generalized Hermite constant and its computations for imaginary
  quadratic fields   We introduce the projective Hermite constant for positive definite binary
hermitian forms associated with an imaginary quadratic number field $K$. It is
a lower bound for the classical Hermite constant, and these two constants
coincide when $K$ has class number one. Using the geometric tools developed by
Mendoza and Vogtmann for their study of the homology of the Bianchi groups, we
compute the projective Hermite constants for those $K$ whose absolute
discriminants are less than 70, and determine the hermitian forms that attain
the projective Hermite constants in these cases. A comparison of the projective
hermitian constant with some other generalizations of the classical Hermite
constant is also given.

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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: physics
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph