Publications [#287272] of Richard Hain

Papers Published

1. Hain, R; Reed, D, On the arakelov geometry of moduli spaces of curves, Journal of Differential Geometry, vol. 67 no. 2 (Summer, 2004), pp. 195-228, ISSN 0022-040X [arXiv:math/0211097], [doi]
   (last updated on 2025/04/05)

   Abstract:
   In this paper we compute the asymptotics of the natural metric on the line bundle over the moduli spaceMg associated to the algebraic cycle C − C− in the jacobian Jac C of a smooth projective curve C of genus g ≤ 3. The asymptotics are related to the structure of the mapping class group of a genus g surface. © 2004 Applied Probability Trust.