Real $K3$ surfaces without real points, equivariant determinant of the Laplacian, and the Borcherds Phi-function
| dc.creator | Yoshikawa, Ken-Ichi | |
| dc.date | 2006-01-18 | |
| dc.date.accessioned | 2026-07-07T06:59:02Z | |
| dc.date.available | 2026-07-07T06:59:02Z | |
| dc.description | We consider an equivariant analogue of a conjecture of Borcherds. Let $Y$ be a real $K3$ surface without real points. Let $g$ be a Ricci-flat Kaehler metric on $Y$ invariant under the complex conjugation. We shall prove that the equivariant determinant of the Laplacian of $(Y,g)$ with respect to the complex conjugation is expressed as the norm of the Borcherds Phi-function at the "period point". Here the period is not the one in algebraic geometry. | |
| dc.identifier | https://arxiv.org/abs/math/0601428 | |
| dc.identifier | http://arxiv.org/abs/math/0601428 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107602 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.title | Real $K3$ surfaces without real points, equivariant determinant of the Laplacian, and the Borcherds Phi-function | |
| dc.type | text |