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math.AG2002
On the Arakelov Geometry of Moduli Spaces of Curves
Richard Hain, David Reed
In this paper we compute the asymptotics of the metric on the line bundle over the moduli space of curves that arises when attempting to compute the archimedean height of the algeb…
math.NT2002★ 1 cited
The Hyodo-Kato isomorphism for rational homotopy types
Minhyong Kim, Richard M. Hain
We prove a comparison isomorphism between the De Rham rational homotopy type of a smooth proper log variety defined over a p-adic field and the crystalline rational homotopy type o…
math.AG2002
The rational cohomology ring of the moduli space of abelian 3-folds
Richard Hain
The rational cohomology ring of A_3, the moduli space of abelian 3-folds is computed. This is isomorphic to the the rational cohomology ring of the group Sp_3(Z) of 6x6 integral sy…