Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Greatest Ricci lower bounds of projective horospherical manifolds of
  Picard number one   A horospherical variety is a normal $G$-variety such that a connected
reductive algebraic group $G$ acts with an open orbit isomorphic to a torus
bundle over a rational homogeneous manifold. The projective horospherical
manifolds of Picard number one are classified by Pasquier, and it turned out
that the automorphism groups of all nonhomogeneous ones are non-reductive,
which implies that they admit no K\"{a}hler--Einstein metrics. As a numerical
measure of the extent to which a Fano manifold is close to be
K\"{a}hler--Einstein, we compute the greatest Ricci lower bounds of projective
horospherical manifolds of Picard number one using the barycenter of each
moment polytope with respect to the Duistermaat--Heckman measure based on a
recent work of Delcroix and Hultgren. In particular, the greatest Ricci lower
bound of the odd symplectic Grassmannian $\text{SGr}(n,2n+1)$ can be
arbitrarily close to zero as $n$ grows.

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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin