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- W4327856819 abstract "We introduce a holomorphic torsion invariant of log-Enriques surfaces of index two with cyclic quotient singularities of type $frac{1}{4}(1,1)$. The moduli space of such log-Enriques surfaces with $k$ singular points is a modular variety of orthogonal type %of dimension $10-k$ associated with a unimodular lattice of signature $(2,10-k)$. We prove that the invariant, viewed as a function on the modular variety, is given by the Petersson norm of an explicit Borcherds product. We note that this torsion invariant is essentially the BCOV invariant in the complex dimension $2$. As a consequence, the BCOV invariant in this case is not a birational invariant, unlike the Calabi-Yau case." @default.
- W4327856819 created "2023-03-20" @default.
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- W4327856819 date "2020-09-21" @default.
- W4327856819 modified "2023-10-18" @default.
- W4327856819 title "Analytic torsion for log-Enriques surfaces and Borcherds product" @default.
- W4327856819 doi "https://doi.org/10.48550/arxiv.2009.10302" @default.
- W4327856819 hasPublicationYear "2020" @default.
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