Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Harder-Narasimhan stratification of the $\B+$-Grassmannian   We establish a Harder-Narasimhan formalism for modifications of $G$-bundles
on the Fargues-Fontaine curve. The semi-stable stratum of the associated
stratification of the $\B+$-Grassmannian coincides with the variant of the
weakly admissible locus defined by Viehmann, and its classical points agree
with those of the basic Newton stratum. When restricted to minuscule affine
Schubert cells, the stratification corresponds to the Harder-Narasimhan
stratification of Dat, Orlik and Rapoport. We also study basic geometric
properties of the strata, and the relation to the Hodge-Newton decomposition.

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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: nlin