The 21 Reducible Polars of Klein’s Quartic

Piotr Pokora; Joaquim Roé

doi:10.1080/10586458.2018.1488155

The 21 Reducible Polars of Klein’s Quartic

Piotr Pokora^*, Joaquim Roé

^*Corresponding author for this work

Department of Mathematics

Institute of Mathematics of the Polish Academy of Sciences

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

8 Citations (Scopus)

Abstract

We describe the singularities and related properties of the arrangement of 21 reducible polars of Klein’s quartic, containing Klein’s well-known arrangement of 21 lines.

Original language	American English
Journal	Experimental Mathematics
DOIs	https://doi.org/10.1080/10586458.2018.1488155
Publication status	E-pub ahead of print - 7 Jan 2019

Keywords

14H50; 14C17, 14J26, 14C20, 14N05, 14E05, 13A15, 13F20
freeness
Klein quartic curve
line arrangements
plane curve arrangements
symbolic and ordinary powers of ideals

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10.1080/10586458.2018.1488155

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title = "The 21 Reducible Polars of Klein{\textquoteright}s Quartic",

abstract = "We describe the singularities and related properties of the arrangement of 21 reducible polars of Klein{\textquoteright}s quartic, containing Klein{\textquoteright}s well-known arrangement of 21 lines.",

keywords = "14H50; 14C17, 14J26, 14C20, 14N05, 14E05, 13A15, 13F20, freeness, Klein quartic curve, line arrangements, plane curve arrangements, symbolic and ordinary powers of ideals",

author = "Piotr Pokora and Joaquim Ro{\'e}",

year = "2019",

month = jan,

day = "7",

doi = "10.1080/10586458.2018.1488155",

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AU - Roé, Joaquim

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N2 - We describe the singularities and related properties of the arrangement of 21 reducible polars of Klein’s quartic, containing Klein’s well-known arrangement of 21 lines.

AB - We describe the singularities and related properties of the arrangement of 21 reducible polars of Klein’s quartic, containing Klein’s well-known arrangement of 21 lines.

KW - 14H50; 14C17, 14J26, 14C20, 14N05, 14E05, 13A15, 13F20

KW - freeness

KW - Klein quartic curve

KW - line arrangements

KW - plane curve arrangements

KW - symbolic and ordinary powers of ideals

UR - https://www.scopus.com/pages/publications/85059735432

U2 - 10.1080/10586458.2018.1488155

DO - 10.1080/10586458.2018.1488155

M3 - Artículo

AN - SCOPUS:85059735432

SN - 1058-6458

JO - Experimental Mathematics

JF - Experimental Mathematics

ER -

The 21 Reducible Polars of Klein’s Quartic

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Keywords

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