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Moduli Spaces

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Rational Points
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Abstract

The purpose of this chapter is to list the necessary basic facts from the theory of moduli spaces and their compactifi- cations. Giving complete proofs would require a book, and therefore we usually only describe what is going on. Precise details may be found in the appropriate books, and this survey might be useful as an introduction to them.

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Bibliography

  1. M. Artin: Algebraization of formal moduli I in: Global Analysis Princeton Univ. Press, Princeton 1969.

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  2. A. Ash. D. Mumford, M. Rapoport, Y. Tai: Smooth compactification of locally symmetric varieteis Math. Sci. Press, Brookline (1975).

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  3. W.L. Baily, A. Borel: Compactification of arithmetic quotients of bounded symmetric domains. Ann. of Math. 84(1966), 442–528.

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  6. D. Mumford: Stability of projective varieties Ens. Math. 23 (1977), 39–100.

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  7. D. Mumford: Hirzebruch’s proportionality theorem in the non-compact case Inven. math. 42 (1977), 239–272.

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© 1984 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Faltings, G. (1984). Moduli Spaces. In: Rational Points. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-83918-3_1

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  • DOI: https://doi.org/10.1007/978-3-322-83918-3_1

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-528-08593-3

  • Online ISBN: 978-3-322-83918-3

  • eBook Packages: Springer Book Archive

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