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<titleInfo><title>Towards a tropical Hodge bundle</title></titleInfo>





<name type="personal">
  <namePart type="given">Bo</namePart>
  <namePart type="family">Lin</namePart>
  <role><roleTerm type="text">author</roleTerm> </role></name>
<name type="personal">
  <namePart type="given">Martin</namePart>
  <namePart type="family">Ulirsch</namePart>
  <role><roleTerm type="text">author</roleTerm> </role><identifier type="local">114697</identifier></name>














<abstract lang="eng">The moduli space $M_g^{trop}$ of tropical curves of genus $g$ is a generalized cone complex that parametrizes metric vertex-weighted graphs of genus $g$. For each such graph $Γ$, the associated canonical linear system $\vert K_Γ\vert$ has the structure of a polyhedral complex. In this article we propose a tropical analogue of the Hodge bundle on $M_g^{trop}$ and study its basic combinatorial properties. Our construction is illustrated with explicit computations and examples.</abstract>

<originInfo><dateIssued encoding="w3cdtf">2017</dateIssued>
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<relatedItem type="host"><titleInfo><title>arXiv:1701.04385</title></titleInfo>
  <identifier type="arXiv">1701.04385</identifier><identifier type="doi">10.1007/978-1-4939-7486-3_16</identifier>
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<chicago>Lin, Bo, and Martin Ulirsch. “Towards a Tropical Hodge Bundle.” &lt;i&gt;ArXiv:1701.04385&lt;/i&gt;, 2017. &lt;a href=&quot;https://doi.org/10.1007/978-1-4939-7486-3_16&quot;&gt;https://doi.org/10.1007/978-1-4939-7486-3_16&lt;/a&gt;.</chicago>
<short>B. Lin, M. Ulirsch, ArXiv:1701.04385 (2017).</short>
<apa>Lin, B., &amp;#38; Ulirsch, M. (2017). Towards a tropical Hodge bundle. &lt;i&gt;ArXiv:1701.04385&lt;/i&gt;. &lt;a href=&quot;https://doi.org/10.1007/978-1-4939-7486-3_16&quot;&gt;https://doi.org/10.1007/978-1-4939-7486-3_16&lt;/a&gt;</apa>
<ieee>B. Lin and M. Ulirsch, “Towards a tropical Hodge bundle,” &lt;i&gt;arXiv:1701.04385&lt;/i&gt;, 2017, doi: &lt;a href=&quot;https://doi.org/10.1007/978-1-4939-7486-3_16&quot;&gt;10.1007/978-1-4939-7486-3_16&lt;/a&gt;.</ieee>
<ama>Lin B, Ulirsch M. Towards a tropical Hodge bundle. &lt;i&gt;arXiv:170104385&lt;/i&gt;. Published online 2017. doi:&lt;a href=&quot;https://doi.org/10.1007/978-1-4939-7486-3_16&quot;&gt;10.1007/978-1-4939-7486-3_16&lt;/a&gt;</ama>
<bibtex>@article{Lin_Ulirsch_2017, title={Towards a tropical Hodge bundle}, DOI={&lt;a href=&quot;https://doi.org/10.1007/978-1-4939-7486-3_16&quot;&gt;10.1007/978-1-4939-7486-3_16&lt;/a&gt;}, journal={arXiv:1701.04385}, author={Lin, Bo and Ulirsch, Martin}, year={2017} }</bibtex>
<mla>Lin, Bo, and Martin Ulirsch. “Towards a Tropical Hodge Bundle.” &lt;i&gt;ArXiv:1701.04385&lt;/i&gt;, 2017, doi:&lt;a href=&quot;https://doi.org/10.1007/978-1-4939-7486-3_16&quot;&gt;10.1007/978-1-4939-7486-3_16&lt;/a&gt;.</mla>
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