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On the arakelov geometry of moduli spaces of curves

Publication ,  Journal Article
Hain, R; Reed, D
Published in: Journal of Differential Geometry
January 1, 2004

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.

Duke Scholars

Published In

Journal of Differential Geometry

DOI

EISSN

1945-743X

ISSN

0022-040X

Publication Date

January 1, 2004

Volume

67

Issue

2

Start / End Page

195 / 228

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

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ICMJE
MLA
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Hain, R., & Reed, D. (2004). On the arakelov geometry of moduli spaces of curves. Journal of Differential Geometry, 67(2), 195–228. https://doi.org/10.4310/jdg/1102536200
Hain, R., and D. Reed. “On the arakelov geometry of moduli spaces of curves.” Journal of Differential Geometry 67, no. 2 (January 1, 2004): 195–228. https://doi.org/10.4310/jdg/1102536200.
Hain R, Reed D. On the arakelov geometry of moduli spaces of curves. Journal of Differential Geometry. 2004 Jan 1;67(2):195–228.
Hain, R., and D. Reed. “On the arakelov geometry of moduli spaces of curves.” Journal of Differential Geometry, vol. 67, no. 2, Jan. 2004, pp. 195–228. Scopus, doi:10.4310/jdg/1102536200.
Hain R, Reed D. On the arakelov geometry of moduli spaces of curves. Journal of Differential Geometry. 2004 Jan 1;67(2):195–228.

Published In

Journal of Differential Geometry

DOI

EISSN

1945-743X

ISSN

0022-040X

Publication Date

January 1, 2004

Volume

67

Issue

2

Start / End Page

195 / 228

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics