The Analogue of Dedekind Eta Functions for Calabi-Yau Manifilolds II. (Algebraic, Analytic Discriminants and the Analogue of Baily-Borel Compactification of the Moduli Space of CY Manifolds.)

dc.creatorTodorov, Andrey
dc.date2008-05-07
dc.date.accessioned2026-07-07T09:37:32Z
dc.date.available2026-07-07T09:37:32Z
dc.descriptionIn this paper we construct the analogue of Dedekind eta-function on the moduli space of polarized CY manifolds. We prove that the L-two norm of eta is the regularized determinants of the Laplacians of the CY metric on (0,1) forms. We construct the analogue of the Baily-Borel Compactification of the moduli space of polarized CY and prove that it has the same properties as the Baily-Borel compactification of the locally symmetric Hermitian spaces. We proved that the compactification constructed in the paper is the minimal.
dc.identifierhttps://arxiv.org/abs/0805.0844
dc.identifierhttp://arxiv.org/abs/0805.0844
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160491
dc.subjectAlgebraic Geometry
dc.titleThe Analogue of Dedekind Eta Functions for Calabi-Yau Manifilolds II. (Algebraic, Analytic Discriminants and the Analogue of Baily-Borel Compactification of the Moduli Space of CY Manifolds.)
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