Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On characteristic ideal of Selmer group associated to Artin
  representations   Selmer group for an Artin representation over totally real fields was studied
by Greenberg and Vatsal. In this paper we study the Selmer groups for an Artin
representation over a totally complex field. We establish an algebraic function
of the characteristic ideal of the Selmer group associated to Artin
representation over the cyclotomic $\Z_p$- extension of the rational numbers
under certain mild hypotheses and construct several examples to illustrate our
result. We also prove that in this situation $\mu$-invariant of the dual Selmer
group is independent of the choice of the lattice.

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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
3
The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat