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PreprintCC BY-NC-ND 4.0arXiv

Nonvanishing implies abundance

Abstract

We prove that the nonvanishing conjecture implies the abundance conjecture.

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BibTeX
@misc{liu2026nonvanishing,
  title = {{Nonvanishing implies abundance}},
  author = {Jihao Liu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.35913},
  eprint = {2610.35913},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35913},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Nonvanishing implies abundance
AU  - Jihao Liu
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2610.35913
UR  - https://arxiv.org/abs/2610.35913
AB  - We prove that the nonvanishing conjecture implies the abundance conjecture.
ER  -