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Threefolds of general type on the Noether line

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Abstract

Let X be a threefold of general type, it is expected that . We investigate threefolds of general type satisfying .

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Notes

  1. If we start with a canonical model X, by minimal model program we may replace X by its \({{\mathbb {Q}}}\)-factorialization. Hence it seems no harm to start with a \({{\mathbb {Q}}}\)-factorial variety in our study.

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Acknowledgements

The author would like to thank the anonymous referee for valuable comments and suggestions.

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Correspondence to Jungkai Alfred Chen.

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The author was partially supported by Ministry of Science and Technology and NCTS of Taiwan.

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Chen, J.A. Threefolds of general type on the Noether line. European Journal of Mathematics 8, 853–870 (2022). https://doi.org/10.1007/s40879-022-00576-y

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