We present new complete Calabi-Yau metrics defined on the complement of a smooth anticanonical divisor with ample normal bundle, approaching the Calabi model space at a polynomial rate. Moreover, we establish the uniqueness of this type of Calabi-Yau metric within a fixed cohomology class.
@article{2024ChenCalabiYauPolynomial,author={Chen, Yifan},title={Calabi-Yau metrics of Calabi type with polynomial rate of convergence},journal={submitted},keywords={preprint},year={2024},month=apr,archiveprefix={arXiv},eprint={2404.18070},primaryclass={math.DG},year-preprint={2024}}