Bitangents of non-smooth tropical quartics

Heejong Lee; Yoav Len

doi:10.4171/pm/2011

Bitangents of non-smooth tropical quartics

Heejong Lee, Yoav Len

Pure Mathematics

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

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.

Original language	English
Pages (from-to)	67-78
Journal	Portugaliae Mathematica
Volume	75
Issue number	1
DOIs	https://doi.org/10.4171/pm/2011
Publication status	Published - 5 Jul 2018

Keywords

Tropical geometry
Quartic curves
Bitangent lines
Jacobians
Moduli of curves

Access to Document

10.4171/pm/2011

Bitangents of non-smooth quartics
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
Accepted author manuscript, 295 KB

Handle.net

Persistent link

Cite this

@article{63d523b933894f628ed72b555f2c0fe6,

title = "Bitangents of non-smooth tropical quartics",

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. ",

keywords = "Tropical geometry, Quartic curves, Bitangent lines, Jacobians, Moduli of curves",

author = "Heejong Lee and Yoav Len",

year = "2018",

month = jul,

day = "5",

doi = "10.4171/pm/2011",

language = "English",

volume = "75",

pages = "67--78",

journal = "Portugaliae Mathematica",

issn = "0032-5155",

publisher = "European Mathematical Society Publishing House",

number = "1",

}

TY - JOUR

T1 - Bitangents of non-smooth tropical quartics

AU - Lee, Heejong

AU - Len, Yoav

PY - 2018/7/5

Y1 - 2018/7/5

N2 - 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.

AB - 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.

KW - Tropical geometry

KW - Quartic curves

KW - Bitangent lines

KW - Jacobians

KW - Moduli of curves

UR - https://www.scopus.com/pages/publications/85049508716

U2 - 10.4171/pm/2011

DO - 10.4171/pm/2011

M3 - Article

SN - 0032-5155

VL - 75

SP - 67

EP - 78

JO - Portugaliae Mathematica

JF - Portugaliae Mathematica

IS - 1

ER -

Bitangents of non-smooth tropical quartics

Abstract

Keywords

Access to Document

Handle.net

Other files and links

Fingerprint

Cite this