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math.AG2000
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…
math.NT2000
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…
math.AG2000
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…