Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic stability and degree growth of monomial maps and polynomial
  maps   Given a rational monomial map, we consider the question of finding a toric
variety on which it is algebraically stable. We give conditions for when such
variety does or does not exist. We also obtain several precise estimates of the
degree sequences of monomial maps on $\P^n$. Finally, we characterize
polynomial maps which are algebraically stable on $(\P^1)^n$.

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The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph