Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characteristic numbers of ellitpic space curves with fixed j-invariant   We solve the problem of counting elliptic curves with fixed j-invariant in
projective space with tangency conditions. This is equivalent to couting
rational nodal curves with condition on the node of the image. The solution is
given in the form of effective recursions. We give explicit formulas when the
dimension of the ambient projective space is at most 5. Many numerical examples
are provided. A C++ program implementing most of the recursions is available on
the author's webpage (see \cite{dn}).

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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom