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Pluricanonical systems on irregular 3-folds of general type

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Abstract

In this paper we prove that if X is an irregular 3-fold with χ(ω X ) > 0, then |mK X | is birational for all m ≥  5.

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Authors and Affiliations

  1. Department of Mathematics, National Taiwan University, Taipei, 10617, Taiwan

    Jungkai A. Chen

  2. National Center for Theoretical Sciences, Taipei Office, Taipei, Taiwan

    Jungkai A. Chen

  3. Department of Mathematics, University of Utah, 155 South 1400 East, JWB 233, Salt Lake City, UT, 84112-0090, USA

    Christopher D. Hacon

Authors
  1. Jungkai A. Chen
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  2. Christopher D. Hacon
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Correspondence to Jungkai A. Chen.

Additional information

The first author was partially supported by NSC and NCTS of Taiwan. The second author was partially supported by NSF research grant no: 0456363.

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Chen, J.A., Hacon, C.D. Pluricanonical systems on irregular 3-folds of general type. Math. Z. 255, 343–355 (2007). https://doi.org/10.1007/s00209-006-0028-9

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  • DOI: https://doi.org/10.1007/s00209-006-0028-9

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