Siegel Moduli Schemes and Their Compactifications over ℂ

Ching-Li Chai

Chapter Chapter IX in Arithmetic Geometry, 1986, pp 231-251 from Springer

Abstract: Abstract The purpose of this chapter is to give a brief introduction to the moduli spaces of abelian varieties and their compactification. Only the geometric aspects of the theory are discussed. The arithmetic side is left untouched. The Satake and toroidal compactification are described within the realm of matrices. Although the theory looks more elementary and explicit, this approach also tends to obscure its group-theoretic nature (see [B-B], [SC] for the general case). The readers interested in a deeper pursuit of this subject may find more references in [GIT] and [Fr].

Keywords: Abelian Variety; Finite Index; Holomorphic Family; Modulus Scheme; Abelian Scheme (search for similar items in EconPapers)
Date: 1986
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DOI: 10.1007/978-1-4613-8655-1_9

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