Author： Goresky M.
Publisher： Springer Publishing Company
ISSN： 0010-437X
Source： Compositio Mathematica, Vol.139, Iss.1, 2003-10, pp. : 1-27
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Abstract
The moduli space of principally polarized Abelian varieties with real structure and with level N</i> = 4m</i> structure (with m</i>
1) is shown to coincide with the set of real points of a quasi-projective algebraic variety defined over 
, and to consist of finitely many copies of the quotient of the space GL(N</i>, 
)/O(N</i>) (of positive definite symmetric matrices) by the principal congruence subgroup of level N</i> in GL(N</i>, 
).
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