Orbifold Hodge numbers of Calabi–Yau hypersurfaces

Mainak Poddar

Vol. 208 (2003), No. 1, 151–167

DOI: 10.2140/pjm.2003.208.151

Abstract

We identify the twisted sectors of a compact simplicial toric variety. We do the same for a generic nondegenerate Calabi-Yau hypersurface of an n-dimensional simplicial Fano toric variety and then explicitly compute h_orb ^1,1 and h_orb ^n−2,1 for the hypersurface. We give applications to the orbifold string theory conjecture and orbifold mirror symmetry.

Milestones

Received: 18 October 2001

Revised: 6 May 2002

Published: 1 January 2003