Classification of Jets of Surfaces in Projective 3-Space Via Central Projection

H. Sano, Yutaro Kabata, J. L.Deolindo Silva, T. Ohmoto

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We present a local classification of smooth surfaces in P3 in terms of the singularity types (of codimension ≤ 4) of their central projections to a plane. Based on our classification result, we also give exact normal forms to surface germs at transition moments on bifurcations with respect to parabolic curves and flecnodal curves.

Original languageEnglish
Pages (from-to)623-639
Number of pages17
JournalBulletin of the Brazilian Mathematical Society
Volume48
Issue number4
DOIs
Publication statusPublished - Dec 1 2017

Fingerprint

Projection
Curve
Smooth surface
Normal Form
Codimension
Bifurcation
Singularity
Moment

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Classification of Jets of Surfaces in Projective 3-Space Via Central Projection. / Sano, H.; Kabata, Yutaro; Silva, J. L.Deolindo; Ohmoto, T.

In: Bulletin of the Brazilian Mathematical Society, Vol. 48, No. 4, 01.12.2017, p. 623-639.

Research output: Contribution to journalArticle

@article{2b756a3c189e4916b86db3b180ac7735,
title = "Classification of Jets of Surfaces in Projective 3-Space Via Central Projection",
abstract = "We present a local classification of smooth surfaces in P3 in terms of the singularity types (of codimension ≤ 4) of their central projections to a plane. Based on our classification result, we also give exact normal forms to surface germs at transition moments on bifurcations with respect to parabolic curves and flecnodal curves.",
author = "H. Sano and Yutaro Kabata and Silva, {J. L.Deolindo} and T. Ohmoto",
year = "2017",
month = "12",
day = "1",
doi = "10.1007/s00574-017-0036-x",
language = "English",
volume = "48",
pages = "623--639",
journal = "Bulletin of the Brazilian Mathematical Society",
issn = "1678-7544",
publisher = "Springer New York",
number = "4",

}

TY - JOUR

T1 - Classification of Jets of Surfaces in Projective 3-Space Via Central Projection

AU - Sano, H.

AU - Kabata, Yutaro

AU - Silva, J. L.Deolindo

AU - Ohmoto, T.

PY - 2017/12/1

Y1 - 2017/12/1

N2 - We present a local classification of smooth surfaces in P3 in terms of the singularity types (of codimension ≤ 4) of their central projections to a plane. Based on our classification result, we also give exact normal forms to surface germs at transition moments on bifurcations with respect to parabolic curves and flecnodal curves.

AB - We present a local classification of smooth surfaces in P3 in terms of the singularity types (of codimension ≤ 4) of their central projections to a plane. Based on our classification result, we also give exact normal forms to surface germs at transition moments on bifurcations with respect to parabolic curves and flecnodal curves.

UR - http://www.scopus.com/inward/record.url?scp=85018823252&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85018823252&partnerID=8YFLogxK

U2 - 10.1007/s00574-017-0036-x

DO - 10.1007/s00574-017-0036-x

M3 - Article

AN - SCOPUS:85018823252

VL - 48

SP - 623

EP - 639

JO - Bulletin of the Brazilian Mathematical Society

JF - Bulletin of the Brazilian Mathematical Society

SN - 1678-7544

IS - 4

ER -