Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the indivisibility of derived Kato's Euler systems and the main
  conjecture for modular forms   We provide a simple and efficient numerical criterion to verify the Iwasawa
main conjecture and the indivisibility of derived Kato's Euler systems for
modular forms of weight two at any good prime under mild assumptions. In the
ordinary case, the criterion works for all members of a Hida family once and
for all. The key ingredient is the explicit computation of the integral image
of the derived Kato's Euler systems under the dual exponential map. We provide
explicit new examples at the end. This work does not appeal to the Eisenstein
congruence method at all.

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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys