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The moduli space of binary quintics

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The moduli space of binary quintics. / du Plessis, Andrew; Wall, Charles Terence Clegg.
In: European Journal of Mathematics, Vol. 4, No. 1, 01.03.2018, p. 423-436.

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

Vancouver

du Plessis A, Wall CTC. The moduli space of binary quintics. European Journal of Mathematics. 2018 Mar 1;4(1):423-436. doi: 10.1007/s40879-017-0187-8

Author

du Plessis, Andrew ; Wall, Charles Terence Clegg. / The moduli space of binary quintics. In: European Journal of Mathematics. 2018 ; Vol. 4, No. 1. pp. 423-436.

Bibtex

@article{8a91753bfb5247e892dc68da6249d504,

title = "The moduli space of binary quintics",

abstract = "We recall the classical construction and theory of invariants for the case of binary quintics, describe the moduli space, and identify the curves in it defined by quintics having symmetry. We describe the real case, and identify the number of real roots depending on the point in moduli space. Our main interest is in five curves of binary quintics defined as linear sections of plane curves with infinite symmetry groups: these play a role in the canonical stratification of jet space, so we describe their singularities and count their intersections. All this is done in the classical case. Thereafter we analyse the changes to be made to the whole theory when we work in characteristic 2.",

keywords = "Binary quintics, Invariants, Moduli space, Stratification, Symmetries",

author = "{du Plessis}, Andrew and Wall, {Charles Terence Clegg}",

year = "2018",

month = mar,

day = "1",

doi = "10.1007/s40879-017-0187-8",

language = "English",

volume = "4",

pages = "423--436",

journal = "European Journal of Mathematics",

issn = "2199-675X",

publisher = "Springer",

number = "1",

}

RIS

TY - JOUR

T1 - The moduli space of binary quintics

AU - du Plessis, Andrew

AU - Wall, Charles Terence Clegg

PY - 2018/3/1

Y1 - 2018/3/1

N2 - We recall the classical construction and theory of invariants for the case of binary quintics, describe the moduli space, and identify the curves in it defined by quintics having symmetry. We describe the real case, and identify the number of real roots depending on the point in moduli space. Our main interest is in five curves of binary quintics defined as linear sections of plane curves with infinite symmetry groups: these play a role in the canonical stratification of jet space, so we describe their singularities and count their intersections. All this is done in the classical case. Thereafter we analyse the changes to be made to the whole theory when we work in characteristic 2.

AB - We recall the classical construction and theory of invariants for the case of binary quintics, describe the moduli space, and identify the curves in it defined by quintics having symmetry. We describe the real case, and identify the number of real roots depending on the point in moduli space. Our main interest is in five curves of binary quintics defined as linear sections of plane curves with infinite symmetry groups: these play a role in the canonical stratification of jet space, so we describe their singularities and count their intersections. All this is done in the classical case. Thereafter we analyse the changes to be made to the whole theory when we work in characteristic 2.

KW - Binary quintics

KW - Invariants

KW - Moduli space

KW - Stratification

KW - Symmetries

UR - http://www.scopus.com/inward/record.url?scp=85042702489&partnerID=8YFLogxK

U2 - 10.1007/s40879-017-0187-8

DO - 10.1007/s40879-017-0187-8

M3 - Journal article

AN - SCOPUS:85042702489

VL - 4

SP - 423

EP - 436

JO - European Journal of Mathematics

JF - European Journal of Mathematics

SN - 2199-675X

IS - 1

ER -