Large Complex Structure Limits of K3 Surfaces

  title={Large Complex Structure Limits of K3 Surfaces},
  author={Mark Gross and Pelham M. H. Wilson},
  journal={Journal of Differential Geometry},
Motivated by the picture of mirror symmetry suggested by Strominger, Yau and Zaslow, we made a conjecture concerning the Gromov-Hausdorff limits of Calabi-Yau n-folds (with Ricci-flat K\"ahler metric) as one approaches a large complex structure limit point in moduli; a similar conjecture was made independently by Kontsevich, Soibelman and Todorov. Roughly stated, the conjecture says that, if the metrics are normalized to have constant diameter, then this limit is the base of the conjectural… Expand
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