Inventiones mathematicae

October 1983, Volume 73, Issue 3, pp 337–347 | Cite as

Arakelov's theorem for abelian varieties

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• G. Faltings

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Keywords

Abelian Variety 

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References

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   Arakelov, S.: Families of curves with fixed degeneracy. Izv. Akad. Nauk.35, 1269–1293 (1971)Google Scholar
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   Ash, A., Mumford, D., Rapoport, M., Tai, Y.: Smooth compactification of Locally Symmetric Varieties. Math. Sci. Press, Brooklin (1975)Google Scholar
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   Baily, W.L., Borel, A.: Compactification of arithmetic quotients of bounded symmetric domains. Ann. of Math.84, 442–528 (1966)Google Scholar
4. 4.
   Deligne, P.: Théorie de Hodge II. Publ. Math.40, 5–58 (1971)Google Scholar
5. 5.
   Mumford, D.: Hirzebruch's proportionality theorem in the non-compact case. Invent. math.42, 239–272 (1977)Google Scholar
6. 6.
   Schmid, W.: Variation of hodge structure: The singularities of the period mapping. Invent. math.22, 211–319 (1973)Google Scholar
7. 7.
   Szpiro, L.: Sur le theorème de rigidité d'Arakelov et Parsin. Astérisque,64, 169–202 (1979)Google Scholar

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© Springer-Verlag 1983

Authors and Affiliations

• G. Faltings
  • 1

1. 1.Fachbereich MathematikUniversität-Gesamthochschule WuppertalWuppertal 1Germany