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- W2978488170 abstract "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." @default.
- W2978488170 created "2019-10-10" @default.
- W2978488170 creator A5029873130 @default.
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- W2978488170 date "2019-10-03" @default.
- W2978488170 modified "2023-09-27" @default.
- W2978488170 title "Tropical double ramification loci" @default.
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