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Siegel Moduli Schemes and Their Compactifications over ℂ

In: Arithmetic Geometry

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  • Ching-Li Chai

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].

Suggested Citation

  • Ching-Li Chai, 1986. "Siegel Moduli Schemes and Their Compactifications over ℂ," Springer Books, in: Gary Cornell & Joseph H. Silverman (ed.), Arithmetic Geometry, chapter 0, pages 231-251, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-8655-1_9
    DOI: 10.1007/978-1-4613-8655-1_9
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