Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local epsilon isomorphisms   In this paper, we prove the "local epsilon-isomorphism conjecture" of Fukaya
and Kato for a particular class of Galois modules obtained by tensoring a
Zp-lattice in a crystalline representation of the Galois group of Qp with a
representation of an abelian quotient of the Galois group with values in a
suitable p-adic local ring. This can be regarded as a local analogue of the
Iwasawa main conjecture for abelian p-adic Lie extensions of Qp, extending
earlier work of Benois and Berger for the cyclotomic extension. We show that
such an epsilon-isomorphism can be constructed using the Perrin-Riou regulator
map, or its extension to the 2-variable case due to the first and third
authors.

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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex