Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing isogenies from modular equations in genus two   We present an algorithm solving the following problem: given two genus 2
curves over a field k with isogenous Jacobians, compute such an isogeny
explicitly. This isogeny can be either an l-isogeny or, in the real
multiplication case, an isogeny with cyclic kernel; we require that k have
large enough characteristic and that the curves be sufficiently generic. Our
algorithm uses modular equations for these isogeny types, and makes essential
use of an explicit Kodaira--Spencer isomorphism in genus 2.

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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: nlin