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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
Bibliography
M. Artin: Algebraization of formal moduli I in: Global Analysis Princeton Univ. Press, Princeton 1969.
A. Ash. D. Mumford, M. Rapoport, Y. Tai: Smooth compactification of locally symmetric varieteis Math. Sci. Press, Brookline (1975).
W.L. Baily, A. Borel: Compactification of arithmetic quotients of bounded symmetric domains. Ann. of Math. 84(1966), 442–528.
P. Deligne, D. Mumford: The irreducibility of the space of curves of a given genus Publ. math. IHES 36 (1969), 75–110.
D. Mumford: Geometric Invariant Theory Springer Verlag, Berlin 1965.
D. Mumford: Stability of projective varieties Ens. Math. 23 (1977), 39–100.
D. Mumford: Hirzebruch’s proportionality theorem in the non-compact case Inven. math. 42 (1977), 239–272.
Rights and permissions
Copyright information
© 1984 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
About this chapter
Cite this chapter
Faltings, G. (1984). Moduli Spaces. In: Rational Points. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-83918-3_1
Download citation
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