Automorphisms and the Kähler cone of certain Calabi-Yau manifolds
| dc.creator | Grassi, Antonella | |
| dc.creator | Morrison, David R. | |
| dc.date | 1992-12-22 | |
| dc.date.accessioned | 2026-07-07T09:05:47Z | |
| dc.date.available | 2026-07-07T09:05:47Z | |
| dc.description | For the Calabi-Yau threefolds $X$ constructed by C. Schoen as fiber products of generic rational elliptic surfaces, we show that the action of the automorphism group of $X$ on the Kähler cone of $X$ has a rationally polyhedral fundamental domain. The second author has conjectured that this statement will hold in general, the example presented here being the first non-trivial case in which the statement has been checked. The conjecture was motivated by the desire to use a construction of E. Looijenga to compactify certain moduli spaces which arise in the study of conformal field theory and ``mirror symmetry.'' | |
| dc.description | 8 pp., AmS-TeX v.2 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9212004 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9212004 | |
| dc.identifier | Duke Math. J. 71 (1993), 831-838 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149791 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Automorphisms and the Kähler cone of certain Calabi-Yau manifolds | |
| dc.type | text |