Automorphisms and the Kähler cone of certain Calabi-Yau manifolds

Details Automorphisms and the Kähler cone of certain Calabi-Yau manifolds Automorphisms and the Kähler cone of certain Calabi-Yau manifolds

1992-12-22

arxiv.org/abs/alg-geom/9212004v1

Duke Math. J. 71 (1993), 831-838

Mathematics

Algebraic Geometry

8 pp., AmS-TeX v.2

Scientific paper

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 K\"ahler 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.''

Affiliated with

Also associated with

No associations

Rating

Automorphisms and the Kähler cone of certain Calabi-Yau manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Automorphisms and the Kähler cone of certain Calabi-Yau manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Automorphisms and the Kähler cone of certain Calabi-Yau manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-205684