The Pfaffian Calabi-Yau, its Mirror, and their link to the Grassmannian G(2,7)
| dc.creator | Rodland, Einar Andreas | |
| dc.date | 1998-01-20 | |
| dc.date.accessioned | 2026-07-07T05:23:38Z | |
| dc.date.available | 2026-07-07T05:23:38Z | |
| dc.description | The rank 4 locus of a general skew-symmetric 7x7 matrix gives the pfaffian variety in P^20 which is not defined as a complete intersection. Intersecting this with a general P^6 gives a Calabi-Yau manifold. An orbifold construction seems to give the 1-parameter mirror-family of this. However, corresponding to two points in the 1-parameter family of complex structures, both with maximally unipotent monodromy, are two different mirror-maps: one corresponding to the general pfaffian section, the other to a general intersection of G(2,7) in P^20 with a P^13. Apparently, the pfaffian and G(2,7) sections constitute different parts of the A-model (Kahler structure related) moduli space, and, thus, represent different parts of the same conformal field theory moduli space. | |
| dc.description | LaTeX2e, 13 pages; full PhD-thesis will be made available from http://www.math.uio.no/~einara/papers.html in early 1998 | |
| dc.identifier | https://arxiv.org/abs/math/9801092 | |
| dc.identifier | http://arxiv.org/abs/math/9801092 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76516 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J30 (primary), 14N10 | |
| dc.title | The Pfaffian Calabi-Yau, its Mirror, and their link to the Grassmannian G(2,7) | |
| dc.type | text |