Bitangents of tropical plane quartic curves

M. Baker; Y. Len; R. Morrison; N. Pflueger; Q. Ren

doi:10.1007/s00209-015-1576-7

Bitangents of tropical plane quartic curves

M. Baker, Y. Len, R. Morrison, N. Pflueger, Q. Ren

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study smooth tropical plane quartic curves and show that they satisfy certain properties analogous to (but also different from) smooth plane quartics in algebraic geometry. For example, we show that every such curve admits either infinitely many or exactly 7 bitangent lines. We also prove that a smooth tropical plane quartic curve cannot be hyperelliptic.

Original language	English
Pages (from-to)	1017–1031
Number of pages	15
Journal	Mathematische Zeitschrift
Volume	282
Issue number	3-4
Early online date	16 Nov 2015
DOIs	https://doi.org/10.1007/s00209-015-1576-7
Publication status	Published - Apr 2016

Keywords

Tropical geometry
Tropical curves
Algebraic geometry
Plane quartics

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10.1007/s00209-015-1576-7

BLMPR accepted version
Copyright © 2020 Springer-Verlag Berlin Heidelberg. 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/10.1007/s00209-015-1576-7.
Accepted author manuscript, 301 KB

Yoav Len
- yoav.lenst-andrews.acuk
- Pure Mathematics - Lecturer in Pure Mathematics
Person: Academic

Cite this

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AB - We study smooth tropical plane quartic curves and show that they satisfy certain properties analogous to (but also different from) smooth plane quartics in algebraic geometry. For example, we show that every such curve admits either infinitely many or exactly 7 bitangent lines. We also prove that a smooth tropical plane quartic curve cannot be hyperelliptic.

KW - Tropical geometry

KW - Tropical curves

KW - Algebraic geometry

KW - Plane quartics

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JO - Mathematische Zeitschrift

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IS - 3-4

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Bitangents of tropical plane quartic curves

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Keywords

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Yoav Len

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