Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thom's jet transversality theorem for regular maps   We establish Thom's jet transversality theorem for regular maps from an
affine algebraic manifold to an algebraic manifold satisfying a suitable
flexibility condition. It can be considered as the algebraic version of
Forstneri\v{c}'s jet transversality theorem for holomorphic maps from a Stein
manifold to an Oka manifold. Our jet transversality theorem implies genericity
theorems for regular maps of maximal ranks. As an application, it follows that
every connected compact locally flexible manifold is the image of a holomorphic
submersion from an affine space. We also show that every algebraically
degenerate subvariety of codimension at least two in a locally flexible
manifold has an Oka complement.

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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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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: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc