4 papers
Variability regions of close-to-convex functions
Takao Kato, Toshiyuki Sugawa, Li-Mei Wang
M. Biernacki gave concrete forms of the variability regions of and of close-to-convex functions for a fixed with in 1936. The forms are, howe…
On triple coverings of irrational curves
Takao Kato, Changho Keem, Akira Ohbuchi
Given a triple covering of genus of a general (in the sense of Brill-Noether) curve of genus , we show the existence of base-point-free pencils of degree which a…
Non-trivial Linear Systems on Smooth Plane Curves
Marc Coppens, Takao Kato
Let be a smooth plane curve of degree defined over an algebraically closed field . A base point free complete very special linear system on is trivial if the…
Weierstrass Gap Sequence at Total Inflection Points of Nodal Plane Curves
Marc Coppens, Takao Kato
Let be a plane curve of degree with ordinary nodes and no other singularities. If is a smooth point on then the Weierstrass gap sequence at is considered as…