Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Degenerations of Grassmannians via lattice configurations   We study degenerations of Grassmannians constructed using convex lattice
configurations in Bruhat-Tits buildings. Using techniques from quiver
representations, we analyze their special fibers, which are explicitly
described as quiver Grassmannians. For a class of lattice configurations,
called the locally linearly independent configurations, we show that our
construction coincide with Mustafin degenerations, thus generalizing a result
of Faltings. In such cases, our analysis of special fibers also generalizes
results of Cartwright et al. As an application, we prove a smoothing criterion
for limit linear series on arbitrary reducible nodal curves.

17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph