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PreprintCC BY 4.0arXiv

A non-klt counterexample to Shokurov's index conjecture

Abstract

We give a counterexample to Shokurov's index conjecture for minimal log discrepancies in the non-klt setting.

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BibTeX
@misc{nakamura2026nonklt,
  title = {{A non-klt counterexample to Shokurov's index conjecture}},
  author = {Yusuke Nakamura and Kohsuke Shibata},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.28038},
  eprint = {2608.28038},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.28038},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A non-klt counterexample to Shokurov's index conjecture
AU  - Yusuke Nakamura
AU  - Kohsuke Shibata
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2608.28038
UR  - https://arxiv.org/abs/2608.28038
AB  - We give a counterexample to Shokurov's index conjecture for minimal log discrepancies in the non-klt setting.
ER  -