Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric Triviality of the Strongly Minimal Second Painlev\'e equations   We show that the strongly minimal second Painlev\'e equation (y" =
2y^3+ty+\alpha) is geometrically trivial, that is we show that if y_1,...,y_n
are distinct solutions such that y_1,y_1',y_2,y_2',...,y_n,y_n' are
algebraically dependent over C(t), then already for some i<j, y_i,y_i',y_j,y_j'
are algebraically dependent over C(t). This gives an extension of some recent
result for the second Painlev\'e equation to the non generic parameters.

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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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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: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys