Compactifications of moduli spaces inspired by mirror symmetry
| dc.creator | Morrison, David R. | |
| dc.date | 1993-04-23 | |
| dc.date.accessioned | 2026-07-07T09:05:49Z | |
| dc.date.available | 2026-07-07T09:05:49Z | |
| dc.description | We study moduli spaces of nonlinear sigma-models on Calabi-Yau manifolds, using the one-loop semiclassical approximation. The data being parameterized includes a choice of complex structure on the manifold, as well as some ``extra structure'' described by means of classes in H^2. The expectation that this moduli space is well-behaved in these ``extra structure'' directions leads us to formulate a simple and compelling conjecture about the action of the automorphism group on the Kähler cone. If true, it allows one to apply Looijenga's ``semi-toric'' technique to construct a partial compactification of the moduli space. We explore the implications which this construction has concerning the properties of the moduli space of complex structures on a ``mirror partner'' of the original Calabi-Yau manifold. We also discuss how a similarity which might have been noticed between certain work of Mumford and of Mori from the 1970's produces (with hindsight) evidence for mirror symmetry which was available in 1979. [The author is willing to mail hardcopy preprints upon request.] | |
| dc.description | 25 pp., LaTeX 2.09 with AmS-Fonts | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9304007 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9304007 | |
| dc.identifier | Journées de Géométrie Algébrique d'Orsay (Juillet 1992), Astérisque, vol. 218, 1993, pp. 243-271 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149807 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Compactifications of moduli spaces inspired by mirror symmetry | |
| dc.type | text |