(12007)A GLOBAL TORELLI THEOREM FOR CALABI-YAU MANIFOLDS

来源:数学科学研究中心

Abstract. We prove that the period map from the Teichm¨uller space of polarized and marked Calabi-Yau manifolds to the classifying space of polarized Hodge structures is an embedding. The proof is based on the constructions of holomorphic affine structure and global holomorphic affine flat coordinates on the Teichm¨uller space.

  • 1112.1163.pdf