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PreprintarXiv licencearXiv

Hard Lefschetz theorem for logarithmic sheaves twisted by pseudo-effective line bundles

Abstract

In this paper, a Hard Lefschetz theorem for logarithmic sheaves twisted by pseudo-effective line bundles is established, extending a theorem of Demailly, Peternell, and Schneider.

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BibTeX
@misc{watanabe2026hard,
  title = {{Hard Lefschetz theorem for logarithmic sheaves twisted by pseudo-effective line bundles}},
  author = {Yuta Watanabe},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.14175},
  eprint = {2609.14175},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.14175},
}
RIS
TY  - UNPB
TI  - Hard Lefschetz theorem for logarithmic sheaves twisted by pseudo-effective line bundles
AU  - Yuta Watanabe
PY  - 2026
DA  - 2026/09/12
PB  - arXiv
DO  - 10.48550/arxiv.2609.14175
UR  - https://arxiv.org/abs/2609.14175
AB  - In this paper, a Hard Lefschetz theorem for logarithmic sheaves twisted by pseudo-effective line bundles is established, extending a theorem of Demailly, Peternell, and Schneider.
ER  -