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Bitangents of non-smooth tropical quartics

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Bitangents_of_non_smooth_quartics.pdf (294.8Kb)
Date
05/07/2018
Author
Lee, Heejong
Len, Yoav
Keywords
Tropical geometry
Quartic curves
Bitangent lines
Jacobians
Moduli of curves
QA Mathematics
I-PW
Metadata
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Abstract
We study bitangents of non-smooth tropical plane quartics. Our main result is that with appropriate multiplicities, every such curve has 7 equivalence classes of bitangent lines. Moreover, the multiplicity of bitangent lines varies continuously in families of tropical plane curves.
Citation
Lee , H & Len , Y 2018 , ' Bitangents of non-smooth tropical quartics ' , Portugaliae Mathematica , vol. 75 , no. 1 , pp. 67-78 . https://doi.org/10.4171/pm/2011
Publication
Portugaliae Mathematica
Status
Peer reviewed
DOI
https://doi.org/10.4171/pm/2011
ISSN
0032-5155
Type
Journal article
Rights
Copyright © 2018. European Mathematical Society. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.4171/PM/2011
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  • University of St Andrews Research
URI
http://hdl.handle.net/10023/20199

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