TY - JOUR
T1 - Classification of Jets of Surfaces in Projective 3-Space Via Central Projection
AU - Sano, H.
AU - Kabata, Y.
AU - Silva, J. L.Deolindo
AU - Ohmoto, T.
N1 - Funding Information:
The authors would like to thank Takashi Nishimira and Farid Tari for organizing the JSPS-CAPES international cooperation project in 2014-2015. In fact, the second and third authors are supported by the project for their stays in ICMC-USP and Hokkaido University, respectively. The authors appreciate Ricardo Uribe-Vargas for letting them take attention to his paper Uribe-Vargas () and Panov’s () and the referee for valuable comments in revising earlier versions of the present paper. The authors are partly supported by JSPS KAKENHI Grant Numbers 24340007 and 15K13452.
Publisher Copyright:
© 2017, Sociedade Brasileira de Matemática.
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.
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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 -