Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ramification and nearby cycles for l-adic sheaves on relative curves   Deligne and Kato proved a formula computing the dimension of the nearby
cycles complex of an l-adic sheaf on a relative curve over an excellent
strictly henselian trait. In this article, we reprove this formula using
Abbes-Saito's ramification theory.

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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: physics