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The Moduli Space of Real Abelian Varieties with Level Structure
Published online by Cambridge University Press: 04 December 2007
Abstract
The moduli space of principally polarized Abelian varieties with real structure and with level N = 4m structure (with m≥1) is shown to coincide with the set of real points of a quasi-projective algebraic variety defined over ${\open Q}$, and to consist of finitely many copies of the quotient of the space GL(n, ${\open R}$)/O(N) (of positive definite symmetric matrices) by the principal congruence subgroup of level N in GL(n, ${\open Z}$).
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- © 2003 Kluwer Academic Publishers
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