Some Results about the Index Conjecture for log Calabi-Yau Pairs

Yanning Xu

Some Results about the Index Conjecture for log Calabi-Yau Pairs

Algebraic Geometry 2019-05-03 v2

Authors: Yanning Xu

Abstract

We show some inductive statements for the index conjecture for log canonical Calabi-Yau pairs. Using it, we show that boundedness of log canonical index for log canonical Calabi Yau pairs with rational DCC coefficients in dimension 3. We also show boundedness of log canonical index for klt log Calabi-Yau pairs in dimension 4 with $B\neq 0$ .

Keywords

index conjecture log Calabi-Yau pairs log canonical klt boundedness DCC coefficients

Cite

@article{arxiv.1905.00297,
  title  = {Some Results about the Index Conjecture for log Calabi-Yau Pairs},
  author = {Yanning Xu},
  journal= {arXiv preprint arXiv:1905.00297},
  year   = {2019}
}

Comments

15 pages, some typo corrected , comments are welcome. arXiv admin note: text overlap with arXiv:1901.03891; text overlap with arXiv:1603.05765 by other authors

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