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Bitangents of tropical plane quartic curves
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
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2016 (English)In: Mathematische Zeitschrift, ISSN 0025-5874, E-ISSN 1432-1823, Vol. 282, no 3-4, 1017-1031 p.Article in journal (Refereed) PublishedText
Abstract [en]

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.

Place, publisher, year, edition, pages
Springer, 2016. Vol. 282, no 3-4, 1017-1031 p.
Keyword [en]
Tropical geometry, Tropical curves, Algebraic geometry, Plane quartics
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URN: urn:nbn:se:kth:diva-185351DOI: 10.1007/s00209-015-1576-7ISI: 000372303100022OAI: diva2:921460

QC 20160420

Available from: 2016-04-20 Created: 2016-04-18 Last updated: 2016-04-20Bibliographically approved

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Morrison, Ralph
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