4 citations · 5 across the 3 of their papers we have counts for
12 papers
Rigidity of morphisms for log schemes
Atsushi Moriwaki
In this paper, we give the rigidity theorem for a log morphism as an extension of a fixed scheme morphism. We also give several applications of the rigidity theorem.
The modular height of an abelian variety and its finiteness property
Atsushi Moriwaki
In this note, we propose the modular height of an abelian variety defined over a field of finite type over Q. Moreover, we prove its finiteness property.
The number of algebraic cycles with bounded degree
Atsushi Moriwaki
Let X be a projective scheme over a finite field. In this paper, we consider the asymptotic behavior of the number of effective cycles on X with bounded degree as it goes to the in…
The Q-Picard group of the moduli space of curves in positive characteristic
Atsushi Moriwaki
In this note, we prove that the Q-Picard group of the moduli space of n-pointed stable curves of genus g over an algebraically closed field is generated by the tautological classes…
A note on polarizations of finitely generated fields
Atsushi Moriwaki
In our previous paper, we established Northcott's theorem for height functions over finitely generated fields. Unfortunately, Northcott's theorem on finitely generated fields does…
Nef divisors in codimension one on the moduli space of stable curves
Atsushi Moriwaki
Let M_g be the moduli space of smooth curves of genus g >= 3, and \bar{M}_g the Deligne-Mumford compactification in terms of stable curves. Let \bar{M}_g^{[1]} be an open set of \b…