Twistor lines on cubic surfaces

John Armstrong; Massimiliano Povero; Simon Salamon

Twistor lines on cubic surfaces

John Armstrong, Massimiliano Povero, Simon Salamon

Research output: Working paper/Preprint › Preprint

94 Downloads (Pure)

Abstract

It is shown that there exist non-singular cubic surfaces in CP^3 containing 5 twistor lines. This is the maximum number of twistor fibres that a non-singular cubic can contain. Cubic surfaces in CP^3 with 5 twistor lines are classified up to transformations preserving the conformal structure of S^4.

Original language	English
Place of Publication	N/A
Publisher	arXiv
Pages	N/A
Number of pages	22
Volume	N/A
ISBN (Print)	N/A
Publication status	E-pub ahead of print - 12 Dec 2012

Keywords

math.DG
math.AG
53C28, 14N10, 53A30

Access to Document

Twistor lines on cubic surfacesSubmitted manuscript, 230 KB

http://arxiv.org/abs/1212.2851

Cite this

@techreport{afb25dc054624aad852bf0b262369765,

title = "Twistor lines on cubic surfaces",

abstract = "It is shown that there exist non-singular cubic surfaces in CP^3 containing 5 twistor lines. This is the maximum number of twistor fibres that a non-singular cubic can contain. Cubic surfaces in CP^3 with 5 twistor lines are classified up to transformations preserving the conformal structure of S^4.",

keywords = "math.DG, math.AG, 53C28, 14N10, 53A30",

author = "John Armstrong and Massimiliano Povero and Simon Salamon",

note = "22 pages, 6 figs, conf. Geometria delle Varieta' Algebriche, Turin, 2012",

year = "2012",

month = dec,

day = "12",

language = "English",

isbn = "N/A",

volume = "N/A",

pages = "N/A",

publisher = "arXiv",

type = "WorkingPaper",

institution = "arXiv",

}

TY - UNPB

T1 - Twistor lines on cubic surfaces

AU - Armstrong, John

AU - Povero, Massimiliano

AU - Salamon, Simon

N1 - 22 pages, 6 figs, conf. Geometria delle Varieta' Algebriche, Turin, 2012

PY - 2012/12/12

Y1 - 2012/12/12

N2 - It is shown that there exist non-singular cubic surfaces in CP^3 containing 5 twistor lines. This is the maximum number of twistor fibres that a non-singular cubic can contain. Cubic surfaces in CP^3 with 5 twistor lines are classified up to transformations preserving the conformal structure of S^4.

AB - It is shown that there exist non-singular cubic surfaces in CP^3 containing 5 twistor lines. This is the maximum number of twistor fibres that a non-singular cubic can contain. Cubic surfaces in CP^3 with 5 twistor lines are classified up to transformations preserving the conformal structure of S^4.

KW - math.DG

KW - math.AG

KW - 53C28, 14N10, 53A30

M3 - Preprint

SN - N/A

VL - N/A

SP - N/A

BT - Twistor lines on cubic surfaces

PB - arXiv

CY - N/A

ER -

Twistor lines on cubic surfaces

Abstract

Keywords

Access to Document

Fingerprint

Cite this