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. - Mathematics > Algebraic GeometryReport as inadecuate




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. - Mathematics > Algebraic Geometry - Download this document for free, or read online. Document in PDF available to download.

Abstract: In this paper we construct the analogue of Dedekind eta-function on themoduli space of polarized CY manifolds. We prove that the L-two norm of eta isthe regularized determinants of the Laplacians of the CY metric on 0,1 forms.We construct the analogue of the Baily-Borel Compactification of the modulispace of polarized CY and prove that it has the same properties as theBaily-Borel compactification of the locally symmetric Hermitian spaces. Weproved that the compactification constructed in the paper is the minimal.



Author: Andrey Todorov

Source: https://arxiv.org/







Related documents