Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Height Estimates for Equidimensional Dominant Rational Maps   Let F : W --> V be a dominant rational map between quasi-projective varieties
of the same dimension. We give two proofs that h_V(F(P)) >> h_W(P) for all
points P in a nonempty Zariski open subset of W. For dominant rational maps F :
P^n --> P^n, we give a uniform estimate in which the implied constant depends
only on n and the degree of F. As an application, we prove a specialization
theorem for equidimensional dominant rational maps to semiabelian varieties,
providing a complement to Habegger's recent theorem on unlikely intersections.

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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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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: hep-th
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: ao-sci