Beyond the Kähler cone

Details Beyond the Kähler cone Beyond the Kähler cone

1994-07-14

arxiv.org/abs/alg-geom/9407007v1

Proc. of the Hirzebruch 65 Conference on Algebraic Geometry (M. Teicher, ed.), Israel Math. Conf. Proc., vol. 9, 1996, pp. 361

Mathematics

Algebraic Geometry

19 pages, AmS-TeX 2.1, DUK-M-94-04

Scientific paper

The moduli space of nonlinear $\sigma$-models on a Calabi--Yau manifold contains a complexification of the K\"ahler cone of the manifold. We describe a physically natural analytic continuation process which links the complexified K\"ahler cones of birationally equivalent Calabi--Yau manifolds. The enlarged moduli space includes a complexification of Kawamata's ``movable cone''. We formulate a natural conjecture about the action of the birational automorphism group on this cone. (Based in part on joint work with Paul Aspinwall and Brian Greene; submitted to the proceedings of ``Hirzebruch's 65th birthday workshop in algebraic geometry''.)

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