An Arakelov theoretic proof of the equality of conductor and discriminant
Journal de théorie des nombres de Bordeaux, Tome 16 (2004) no. 2, pp. 423-427.

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We give an Arakelov theoretic proof of the equality of conductor and discriminant.

Nous donnons une preuve utilisant la théorie d’Arakelov de l’égalité du conducteur et du discriminant.

DOI : 10.5802/jtnb.454

Ünver, Sinan 1

1 Department of Mathematics University of Chicago 5734 S. University Ave. Chicago IL 60637, USA
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Ünver, Sinan. An Arakelov theoretic proof of the equality of conductor and discriminant. Journal de théorie des nombres de Bordeaux, Tome 16 (2004) no. 2, pp. 423-427. doi : 10.5802/jtnb.454. http://geodesic.mathdoc.fr/articles/10.5802/jtnb.454/

[Bloch] S. Bloch, Cycles on arithmetic schemes and Euler characteristics of curves. Proc. of Sympos. Pure Math. 46 (1987) AMS, 421–450. | Zbl | MR

[CPT] T. Chinburg, G. Pappas, M.J. Taylor, -constants and Arakelov Euler characteristics. Preprint, (1999).

[Deligne] P. Deligne, Le déterminant de la cohomologie. Contemp. Math. 67 (1987), 93–177. | Zbl | MR

[Falt] G. Faltings, Calculus on arithmetic surfaces. Ann. Math. 119 (1984), 387–424. | Zbl | MR

[Fulton] W. Fulton, Intersection theory. Springer-Verlag, Berlin, 1984. | Zbl | MR

[G-S] H. Gillet, C. Soulé, An arithmetic Riemann-Roch theorem. Invent. Math. 110 (1992), 473–543. | Zbl | MR

[M-B] L. Moret-Bailly, La formule de Noether pour les surfaces arithmétiques. Invent. Math. 98 (1989), 499–509. | Zbl | MR

[Mumf] D. Mumford, Stability of projective varieties. Einseign. Math. 23 (1977), 39–100. | Zbl | MR

[Saito] T. Saito, Conductor, discriminant, and the Noether formula of arithmetic surfaces. Duke Math. J. 57 (1988), 151–173. | Zbl | MR

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