Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pencils of genus two curves on rational surfaces   We consider relatively minimal fibrations of curves of genus two on rational
surfaces whose Picard numbers are not maximal. By birational morphisms, such
fibred surfaces are interpreted as pencils of plane curves. We show that only
four are canonical, among a variety of possible models. For each canonical
pencil, we give an example with trivial Mordell-Weil group.

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The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn