Fano versus Calabi - Yau
| dc.creator | Tyurin, Andrey N. | |
| dc.date | 2003-02-10 | |
| dc.date.accessioned | 2026-07-07T04:55:09Z | |
| dc.date.available | 2026-07-07T04:55:09Z | |
| dc.description | In this article we discuss some numerical parts of the mirror conjecture. For any 3 - dimensional Calabi - Yau manifold author introduces a generalization of the Casson invariant known in 3 - dimensional geometry, which is called Casson - Donaldson invariant. In the framework of the mirror relationship it corresponds to the number of SpLag cycles which are Bohr - Sommerfeld with respect to the given polarization. To compute the Casson - Donaldson invariant the author uses well known in classical algebraic geometry degeneration principle. By it, when the given Calabi - Yau manifold is deformed to a pair of quasi Fano manifolds glued upon some K3 - surface, one can compute the invariant in terms of "flag geometry" of the pairs (quasi Fano, K3 - surface). | |
| dc.description | The last lecture of Professor Andrey N. Tyurin (24.02.1940 - 27.10 2002) given at the Fano conference (Turin, October 2002). The text of the lecture was prepared and edited by Nik. Tyurin and Yulia Tiourina (PennStateUniv) due to support of Max - Planck - Institute fur Matematik (Bonn, Germany). Will be published in the proceedings of the Fano conference | |
| dc.identifier | https://arxiv.org/abs/math/0302101 | |
| dc.identifier | http://arxiv.org/abs/math/0302101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66483 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Fano versus Calabi - Yau | |
| dc.type | text |