The decomposition groups of plane conics and plane rational cubics

Tom Ducat; Isac Heden; Susanna Zimmermann

doi:10.4310/MRL.2019.v26.n1.a3

The decomposition groups of plane conics and plane rational cubics

Tom Ducat, Isac Heden, Susanna Zimmermann

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

The decomposition group Dec(X) of an irreducible plane curve is the subgroup of plane birational maps which restrict to a birational map of X. We show that Dec(X) is generated by its elements of degree ≤2 when X is either a conic or rational cubic curve.

Original language	English
Pages (from-to)	35-52
Journal	Mathematics Research Letters
Volume	26
Issue number	1
Early online date	7 Jun 2019
DOIs	https://doi.org/10.4310/MRL.2019.v26.n1.a3
Publication status	E-pub ahead of print - 7 Jun 2019

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10.4310/MRL.2019.v26.n1.a3

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abstract = "The decomposition group Dec(X) of an irreducible plane curve is the subgroup of plane birational maps which restrict to a birational map of X. We show that Dec(X) is generated by its elements of degree ≤2 when X is either a conic or rational cubic curve.",

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