3 citations · 4 across the 3 of their papers we have counts for
4 papers · 1 filter
Periods and elementary real numbers
Masahiko Yoshinaga
The periods, introduced by Kontsevich and Zagier, form a class of complex numbers which contains all algebraic numbers and several transcendental quantities. Little has been known…
Logarithmic vector fields along smooth divisors in projective spaces
Kazushi Ueda, Masahiko Yoshinaga
We show that a smooth divisor in a projective space can be reconstructed from the isomorphism class of the sheaf of logarithmic vector fields along it if and only if its defining e…
Logarithmic vector fields along smooth plane cubic curves
Kazushi Ueda, Masahiko Yoshinaga
We study the sheaves of logarithmic vector fields along smooth cubic curves in the projective plane, and prove a Torelli-type theorem in the sense of Dolgachev-Kapranov for those w…
Splitting criterion for reflexive sheaves
Takuro Abe, Masahiko Yoshinaga
The purpose of this paper is to study the structure of reflexive sheaves over projective spaces through hyperplane sections. We give a criterion for a reflexive sheaf to split into…