Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chow quotients of Grassmannians by diagonal subtori   The literature on maximal torus orbits in the Grassmannian is vast; in this
paper we initiate a program to extend this to diagonal subtori. Our main focus
is generalizing portions of Kapranov's seminal work on Chow quotient
compactifications of these orbit spaces. This leads naturally to discrete
polymatroids, generalizing the matroidal framework underlying Kapranov's
results. By generalizing the Gelfand-MacPherson isomorphism, these Chow
quotients are seen to compactify spaces of arrangements of parameterized linear
subspaces, and a generalized Gale duality holds here. A special case is
birational to the Chen-Gibney-Krashen moduli space of pointed trees of
projective spaces, and we show that the question of whether this birational map
is an isomorphism is a specific instance of a much more general question that
hasn't previously appeared in the literature, namely, whether the geometric
Borel transfer principle in non-reductive GIT extends to an isomorphism of Chow
quotients.

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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph