Access the full text.
Sign up today, get DeepDyve free for 14 days.
Jörg Rambau (2002)
TOPCOM: Triangulations of Point Configurations and Oriented Matroids
M. Vigeland (2007)
Smooth tropical surfaces with infinitely many tropical linesArkiv för Matematik, 48
M. Baker, S. Payne, Joseph Rabinoff (2011)
Nonarchimedean geometry, tropicalization, and metrics on curvesarXiv: Algebraic Geometry
Jürgen Richter-Gebert, B. Sturmfels, T. Theobald (2003)
First steps in tropical geometryarXiv: Algebraic Geometry
D. Ortland, I. Dolgachev (1988)
Point sets in projective spaces and theta functions
Ye Luo (2009)
Rank-determining sets of metric graphsJ. Comb. Theory, Ser. A, 118
J. Plücker
Solution d'une question fondamentale concernant la théorie générale des courbes.Journal für die reine und angewandte Mathematik (Crelles Journal), 1834
Eric Katz, H. Markwig, Thomas Markwig (2007)
The j-invariant of a plane tropical cubicarXiv: Algebraic Geometry
G. Mikhalkin, Ilia Zharkov (2006)
Tropical curves, their Jacobians and Theta functionsarXiv: Algebraic Geometry
M. Baker, Sergey Norin (2007)
Harmonic morphisms and hyperelliptic graphsarXiv: Combinatorics
A. Gathmann (2006)
Tropical algebraic geometryarXiv: Algebraic Geometry
A. Gathmann, Michael Kerber (2006)
A Riemann–Roch theorem in tropical geometryMathematische Zeitschrift, 259
M. Chan, Pakawut Jiradilok (2015)
Theta Characteristics of Tropical K 4 -CurvesarXiv: Algebraic Geometry
P. Michel, Akshay Venkatesh (2006)
Complex networks and decentralized search algorithms
M. Baker, Sergey Norin (2006)
Riemann–Roch and Abel–Jacobi theory on a finite graphAdvances in Mathematics, 215
M. Chan (2011)
Tropical hyperelliptic curvesJournal of Algebraic Combinatorics, 37
Ilia Zharkov (2007)
Tropical theta characteristicsarXiv: Algebraic Geometry
Lars Allermann, Johannes Rau (2007)
First steps in tropical intersection theoryMathematische Zeitschrift, 264
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.
Mathematische Zeitschrift – Springer Journals
Published: Nov 16, 2015
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.