Real K 3 Surfaces without Real Points ,
نویسندگان
چکیده
We consider an equivariant analogue of a conjecture of Borcherds. Let (Y,σ) be a real K3 surface without real points. We shall prove that the equivariant determinant of the Laplacian of (Y,σ) with respect to a σ-invariant Ricci-flat Kähler metric is expressed as the norm of the Borcherds Φ-function at the “period point”. Here the period of (Y,σ) is not the one in algebraic geometry.
منابع مشابه
Real K3 Surfaces without Real Points, Equivariant Determinant of the Laplacian, and the Borcherds Φ-function
We consider an equivariant analogue of a conjecture of Borcherds. Let (Y, σ) be a real K3 surface without real points. We shall prove that the equivariant determinant of the Laplacian of (Y, σ) with respect to a σ-invariant Ricci-flat Kähler metric is expressed as the norm of the Borcherds Φ-function at the “period point”. Here the period of (Y, σ) is not the one in algebraic geometry.
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تاریخ انتشار 2005