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The modified diagonal cycle on the triple product of a pointed curve

Publication ,  Journal Article
Gross, BH; Schoen, C
Published in: Annales de l'Institut Fourier
1995
Published version (DOI) Publisher Link

Let be a curve over a field with a rational point . We define a canonical cycle . Suppose that is a number field and that has semi-stable reduction over the integers of with fiber components non-singular. We construct a regular model of and show that the height pairing is well defined where and are correspondences. The paper ends with a brief discussion of heights and -functions in the case that is a modular curve.

Duke Scholars

Chad L. Schoen
Author Chad L. Schoen Mathematics

Published In

Annales de l'Institut Fourier

DOI

10.5802/aif.1469

EISSN

1777-5310

Publication Date

1995

Volume

45

Issue

3

Start / End Page

649 / 679

Publisher

Cellule MathDoc/Centre Mersenne

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 0101 Pure Mathematics
 

Citation

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Gross, B. H., & Schoen, C. (1995). The modified diagonal cycle on the triple product of a pointed curve. Annales de l’Institut Fourier, 45(3), 649–679. https://doi.org/10.5802/aif.1469
Gross, Benedict H., and Chad Schoen. “The modified diagonal cycle on the triple product of a pointed curve.” Annales de l’Institut Fourier 45, no. 3 (1995): 649–79. https://doi.org/10.5802/aif.1469.
Gross BH, Schoen C. The modified diagonal cycle on the triple product of a pointed curve. Annales de l’Institut Fourier. 1995;45(3):649–79.
Gross, Benedict H., and Chad Schoen. “The modified diagonal cycle on the triple product of a pointed curve.” Annales de l’Institut Fourier, vol. 45, no. 3, Cellule MathDoc/Centre Mersenne, 1995, pp. 649–79. Crossref, doi:10.5802/aif.1469.
Gross BH, Schoen C. The modified diagonal cycle on the triple product of a pointed curve. Annales de l’Institut Fourier. Cellule MathDoc/Centre Mersenne; 1995;45(3):649–679.

Published In

Annales de l'Institut Fourier

DOI

10.5802/aif.1469

EISSN

1777-5310

Publication Date

1995

Volume

45

Issue

3

Start / End Page

649 / 679

Publisher

Cellule MathDoc/Centre Mersenne

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 0101 Pure Mathematics