Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Everywhere ramified towers of global function fields   We consider a tower of function fields F_0 < F_1 < ... over a finite field
such that every place of every F_i ramified in the tower and the sequence
genus(F_i)/[F_i:F_0] has a finite limit. We also construct a tower in which
every place ramifies and the sequence N_i/[F_i:F_0] has a positive limit, where
N_i is the number of degree-one places of F_i. These towers answer questions
posed by Stichtenoth.

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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph