4 citations · 5 across the 3 of their papers we have counts for
6 papers · 1 filter
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 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…
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…
The continuity of Deligne's pairing
Atsushi Moriwaki
In this short note, we will show that the metric of Deligne's pairing is continous.
Intersection pairing for arithmetic cycles with degenerate Green currents
Atsushi Moriwaki
In this note, we would like to propose a suitable extension of the arithmetic Chow group of codimension one, in which the Hodge index theorem holds. We also prove an arithmetic ana…