Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simple connectivity of Fargues--Fontaine curves   We show that the Fargues--Fontaine curve associated to an algebraically
closed field of characteristic p is geometrically simply connected; that is,
its base extension from Q_p to any complete algebraically closed overfield
admits no nontrivial connected finite etale covering. We then deduce from this
an analogue for perfectoid spaces (and some related objects) of Drinfeld's
lemma on the fundamental group of a product of schemes in characteristic p.

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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg