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 language | English |
|---|---|
| Pages (from-to) | 623-639 |
| Number of pages | 17 |
| Journal | Bulletin of the Brazilian Mathematical Society |
| Volume | 48 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Dec 1 2017 |
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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 journal › Article
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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 -