1 citations · 1 across the 4 of their papers we have counts for
12 papers
Finiteness and Torelli Spaces
Richard Hain
Torelli space (in genus g) is the moduli space of compact Riemann surfaces of genus g together with a symplectic basis of their first homology group. It is the quotient of the genu…
Galois actions on fundamental groups of curves and the cycle
Richard Hain, Makoto Matsumoto
Suppose that C is a smooth, projective, geometrically connected curve of genus g > 2 defined over a number field K. Suppose that x is a K-rational point of C. Denote the Lie algebr…
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…
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…
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…
Iterated Integrals and Algebraic Cycles: Examples and Prospects
Richard Hain
This paper is for the proceedings of the Chen-Chow Conference held in Tianjin, China in October 2000. The goal of the paper is to produce and survey evidence for a connection betwe…