Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finiteness properties of affine Deligne-Lusztig varieties   Affine Deligne-Lusztig varieties are closely related to the special fibre of
Newton strata in the reduction of Shimura varieties or of moduli spaces of
$G$-shtukas. In almost all cases, they are not quasi-compact. In this note we
prove basic finiteness properties of affine Deligne-Lusztig varieties under
minimal assumptions on the associated group. We show that affine
Deligne-Lusztig varieties are locally of finite type, and prove a global
finiteness result related to the natural group action. Similar results have
previously been known for special situations.

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The categories of this paper are: chem-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: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas