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PreprintarXiv licencearXiv

A Thullen-type Extension Theorem for Nakano Semi-Positive Holomorphic Vector Bundles

Abstract

We prove a Thullen-type extension theorem for hermitian bundles with Nakano semi-positive curvature. As an intermediate result we establish the L2-estimates for the dbar-equation in hermitian vector bundles over a non-complete Kähler manifolds. Minor corrections.

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BibTeX
@misc{delecluse2026thullentype,
  title = {{A Thullen-type Extension Theorem for Nakano Semi-Positive Holomorphic Vector Bundles}},
  author = {V. Delécluse and S. Ivashkovych},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.00628},
  eprint = {2608.00628},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.00628},
}
RIS
TY  - UNPB
TI  - A Thullen-type Extension Theorem for Nakano Semi-Positive Holomorphic Vector Bundles
AU  - V. Delécluse
AU  - S. Ivashkovych
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2608.00628
UR  - https://arxiv.org/abs/2608.00628
AB  - We prove a Thullen-type extension theorem for hermitian bundles with Nakano semi-positive curvature. As an intermediate result we establish the L^2-estimates for the dbar-equation in hermitian vector bundles over a non-complete Kähler manifolds. Minor corrections.
ER  -