TY - JOUR
T1 - On topological types of reduced sextics
AU - Ishikawa, Masaharu
AU - Nguyen, Tu Chanh
AU - Oka, Mutsuo
PY - 2004/1/1
Y1 - 2004/1/1
N2 - We present a computational method for obtaining generic forms of sextics with a given configuration of local singularities. Using this method, we first complete the classification of topological types of local singularities appearing on reduced sextics. Next we give the list of possible configurations of singularities containing at least one non-simple singularity and satisfying ρ(5) ≥ 7, and show that such a sextic is of torus type, which has been conjectured by the third author.
AB - We present a computational method for obtaining generic forms of sextics with a given configuration of local singularities. Using this method, we first complete the classification of topological types of local singularities appearing on reduced sextics. Next we give the list of possible configurations of singularities containing at least one non-simple singularity and satisfying ρ(5) ≥ 7, and show that such a sextic is of torus type, which has been conjectured by the third author.
KW - germs of singularities
KW - non-degenerate
UR - http://www.scopus.com/inward/record.url?scp=84878462200&partnerID=8YFLogxK
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U2 - 10.2996/kmj/1104247349
DO - 10.2996/kmj/1104247349
M3 - Article
AN - SCOPUS:84878462200
VL - 27
SP - 237
EP - 260
JO - Kodai Mathematical Journal
JF - Kodai Mathematical Journal
SN - 0386-5991
IS - 3
ER -