Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pentes des fibr\'es vectoriels ad\'eliques sur un corps global   At the end of the twentieth century, J.-B. Bost developped a slope theory of
hermitian vector bundles over number fields. A new method of diophantine
approximation, the so-called slope method, has emerged from his research. Our
article proposes a generalisation to adelic vector bundles over global fields.
The norms at the archimedean places are no longer supposed to be hermitian. The
link with adelic successive minima is also mentioned. To get these results, we
use several concepts from the geometry of finite dimensional Banach spaces.

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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: cs
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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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: adap-org