Special Lagrangian torus fibrations of complete intersection Calabi-Yau manifolds: A geometric conjecture

摘要

For complete intersection Calabi-Yau manifolds in toric varieties, Gross and Haase-Zharkov have given a conjectural combinatorial description of the special Lagrangian torus fibrations whose existence was predicted by Strominger, Yau and Zaslow. We present a geometric version of this construction, generalizing an earlier conjecture of the first author. (C) 2015 The Authors. Published by Elsevier B.V.