Abstract
The subject here is the degeneration of polarized abelian varieties over a noetherian normal domain complete w.r.t. some ideal. We begin by considering the following complex analogue. Let S* = (Δ*)k, S = Δ *, where Δ* denotes the punctured unit disk and Δ the unit disk in ℂ. Let G * be a family of abelian varieties of dimension g over S *. In general, this family may degenerate over S.
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© 1990 Springer-Verlag Berlin Heidelberg
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Faltings, G., Chai, CL. (1990). Degeneration of Polarized Abelian Varieties. In: Degeneration of Abelian Varieties. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02632-8_2
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DOI: https://doi.org/10.1007/978-3-662-02632-8_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08088-3
Online ISBN: 978-3-662-02632-8
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