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Legendrian Curves in ℂP 3 : Cubics and Curves on a Quadric Surface. / Kalinin, N.

In: Journal of Mathematical Sciences (United States), Vol. 251, No. 4, 12.2020, p. 489-502.

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

Harvard

Kalinin, N 2020, 'Legendrian Curves in ℂP 3: Cubics and Curves on a Quadric Surface', Journal of Mathematical Sciences (United States), vol. 251, no. 4, pp. 489-502. https://doi.org/10.1007/s10958-020-05108-1

APA

Kalinin, N. (2020). Legendrian Curves in ℂP 3: Cubics and Curves on a Quadric Surface. Journal of Mathematical Sciences (United States), 251(4), 489-502. https://doi.org/10.1007/s10958-020-05108-1

Vancouver

Kalinin N. Legendrian Curves in ℂP 3: Cubics and Curves on a Quadric Surface. Journal of Mathematical Sciences (United States). 2020 Dec;251(4):489-502. https://doi.org/10.1007/s10958-020-05108-1

Author

Kalinin, N. / Legendrian Curves in ℂP 3 : Cubics and Curves on a Quadric Surface. In: Journal of Mathematical Sciences (United States). 2020 ; Vol. 251, No. 4. pp. 489-502.

BibTeX

@article{67f93859564e401ebc97991b910db214,
title = "Legendrian Curves in ℂP 3: Cubics and Curves on a Quadric Surface",
abstract = "We prove that the number of Legendrian rational cubics in ℂP3 through three generic points and a line is three. Also, we classify all Legendrian curves on a quadric surface. Additionally, several computations are verified using Macaulay2 computer algebra system.",
author = "N. Kalinin",
note = "Publisher Copyright: {\textcopyright} 2020, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = dec,
doi = "10.1007/s10958-020-05108-1",
language = "English",
volume = "251",
pages = "489--502",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Legendrian Curves in ℂP 3

T2 - Cubics and Curves on a Quadric Surface

AU - Kalinin, N.

N1 - Publisher Copyright: © 2020, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/12

Y1 - 2020/12

N2 - We prove that the number of Legendrian rational cubics in ℂP3 through three generic points and a line is three. Also, we classify all Legendrian curves on a quadric surface. Additionally, several computations are verified using Macaulay2 computer algebra system.

AB - We prove that the number of Legendrian rational cubics in ℂP3 through three generic points and a line is three. Also, we classify all Legendrian curves on a quadric surface. Additionally, several computations are verified using Macaulay2 computer algebra system.

UR - http://www.scopus.com/inward/record.url?scp=85095695817&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/6f90b372-8438-3adf-84a9-2a6941c49f72/

U2 - 10.1007/s10958-020-05108-1

DO - 10.1007/s10958-020-05108-1

M3 - Article

AN - SCOPUS:85095695817

VL - 251

SP - 489

EP - 502

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 71062748