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arXiv · alg-geom/9212004

Automorphisms and the Kähler cone of certain Calabi-Yau manifolds

Antonella Grassi·David R. Morrison
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Abstract

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.''

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Antonella Grassi, David R. Morrison. 1992-12-22. Automorphisms and the Kähler cone of certain Calabi-Yau manifolds. https://arxiv.org/abs/alg-geom/9212004

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