Moduli space of real abelian varieties with level structure

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dc.creatorGoresky, Mark
dc.creatorTai, Yung sheng
dc.date2001-08-15
dc.date.accessioned2026-07-07T04:42:59Z
dc.date.available2026-07-07T04:42:59Z
dc.descriptionThe moduli space of principally polarized abelian varieties with real structure and with level $N=4m$ structure (with $m \ge 1$) is shown to coincide with the set of real points of a quasi-projective algebraic variety defined over $\mathbb Q$, and to consist of finitely many copies of the quotient of the space $\mathbf{GL}(n, \mathbb R)/\mathbf O(N)$ (of positive definite symmetric matrices) by the principal congruence subgroup of level $N$ in $\mathbf{GL}(n, \mathbb Z).$
dc.identifierhttps://arxiv.org/abs/math/0108103
dc.identifierhttp://arxiv.org/abs/math/0108103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62020
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject11G15; 14P05
dc.titleModuli space of real abelian varieties with level structure
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