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Logarithmic Vector Bundles on the Blown-Up Variety

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Abstract

We study the logarithmic vector bundles associated to arrangements of smooth irreducible curves with small degree on the blow-up of the projective plane at one point. We then investigate whether they are Torelli arrangements, that is, they can be recovered from the attached logarithmic vector bundles.

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Acknowledgements

The authors wish to thank the anonymous referee for the helpful comments on the revision of this article.

Funding

SH is supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government(MSIT) (No. RS-2023-00208874).

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Correspondence to Min-Gyo Jeong.

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Huh, S., Jeong, MG. Logarithmic Vector Bundles on the Blown-Up Variety. Results Math 79, 128 (2024). https://doi.org/10.1007/s00025-024-02157-9

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