Math @ Duke

Publications [#287272] of Richard Hain
search www.ams.org.Papers Published
 Hain, R; Reed, D, On the arakelov geometry of moduli spaces of curves,
Journal of Differential Geometry, vol. 67 no. 2
(Summer, 2004),
pp. 195228, ISSN 0022040X [arXiv:math/0211097], [doi]
(last updated on 2019/05/22)
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.


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