Through the Looking Glass

Simple item page
dc.creatorMorrison, David R.
dc.date1997-05-30
dc.date1997-06-02
dc.date.accessioned2026-07-07T09:01:52Z
dc.date.available2026-07-07T09:01:52Z
dc.descriptionIt is frequently possible to produce new Calabi-Yau threefolds from old ones by a process of allowing the complex structure to degenerate to a singular one, and then performing a resolution of singularities. (Some care is needed to ensure that the Calabi-Yau condition be preserved.) There has been speculation that all Calabi-Yau threefolds could be linked in this way, and considerable evidence has been amassed in this direction. We propose here a natural way to relate this construction to the string-theoretic phenomenon known as ``mirror symmetry.'' We formulate a conjecture which in principle could predict mirror partners for all Calabi-Yau threefolds, provided that all were indeed linked by the degeneration/resolution process. The conjecture produces new mirrors from old, and so requires some initial mirror manifold construction---such as Greene-Plesser orbifolding---as a starting point. (Lecture given at the CIRM conference, Trento, June 1994, and at the Workshop on Complex Geometry and Mirror Symmetry, Montréal, March 1995.)
dc.descriptionlatex2e, 22 pages with 1 figure
dc.identifierhttps://arxiv.org/abs/alg-geom/9705028
dc.identifierhttp://arxiv.org/abs/alg-geom/9705028
dc.identifierMirror Symmetry III (D. H. Phong, L. Vinet, and S.-T. Yau, eds.), American Mathematical Society and International Press, 1999, pp. 263-277
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148432
dc.subjectAlgebraic Geometry
dc.subject14J32
dc.titleThrough the Looking Glass
dc.typetext

Files

Collections

arXiv