Analytic torsion for log-Enriques surfaces and Borcherds product
نویسندگان
چکیده
Abstract We introduce a holomorphic torsion invariant of log-Enriques surfaces index two with cyclic quotient singularities type $\frac {1}{4}(1,1)$ . The moduli space such k singular points is modular variety orthogonal associated unimodular lattice signature $(2,10-k)$ prove that the invariant, viewed as function variety, given by Petersson norm an explicit Borcherds product. note this essentially BCOV in complex dimension $2$ As consequence, case not birational unlike Calabi-Yau case.
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ژورنال
عنوان ژورنال: Forum of Mathematics, Sigma
سال: 2022
ISSN: ['2050-5094']
DOI: https://doi.org/10.1017/fms.2022.66