1 citations · 1 across the 3 of their papers we have counts for
5 papers
Period matrices of some hyperelliptic Riemann surfaces
Yoshihiko Shinomiya
In this paper, we calculate period matrices of algebraic curves defined by for any and $a_1, a_2, \dots, a_{g…
Simple closed geodesics on hyperelliptic translation surfaces and classification theorem for translation surfaces in
Yoshihiko Shinomiya
In this paper, we give the maximum of the numbers such that we can take simple closed geodesics without singularities that are disjoint to each other for translation surfac…
On holomorphic sections of Veech holomorphic families of Riemann surfaces
Yoshihiko Shinomiya
We give upper bounds of the numbers of holomorphic sections of Veech holomorphic families of Riemann surfaces. The numbers depend only on the topological types of base Riemann surf…
Veech holomorphic families of Riemann surfaces, holomorphic sections, and Diophantine problems
Yoshihiko Shinomiya
In this paper, we construct holomorphic families of Riemann surfaces from Veech groups and characterize their sections by some points of corresponding flat surfaces. The constructi…
Veech groups of flat structures on Riemann surfaces
Yoshihiko Shinomiya
In this paper, we construct new examples of Veech groups by extending Schmithusen's method for calculating Veech groups of origamis to Veech groups of unramified finite coverings o…