Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tropical double ramification loci   Motivated by the realizability problem for principal tropical divisors with a
fixed ramification profile, we explore the tropical geometry of the double
ramification locus in $\mathcal{M}_{g,n}$.There are two ways to define a
tropical analogue of the double ramification locus: one as a locus of principal
divisors, the other as a locus of finite effective ramified covers of a tree.
We show that both loci admit a structure of a generalized cone complex in
$M_{g,n}^{trop}$, with the latter contained in the former. We prove that the
locus of principal divisors has cones of codimension zero in $M_{g,n}^{trop}$,
while the locus of ramified covers has the expected codimension $g$. This
solves the deformation-theoretic part of the realizability problem for
principal divisors, reducing it to the so-called Hurwitz existence problem for
covers of a fixed ramification type.

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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph