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On semistability of Albanese maps

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Abstract

In this note, we show that the Albanese map for a smooth projective variety X with numerically effective anticanonical bundle is surjective, equi-dimensional and semistable.

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Authors and Affiliations

  1. Départment de Mathématiques, UQAM, C.P. 8888 Succursale Centre-ville, Montreal, H3C 3P8, Canada

    Steven Lu

  2. School of Mathematics and Statistics, Wuhan University, Wuhan, China

    Yuping Tu

  3. Department of Mathematics, University of Missouri, Columbia, MO, 65211, USA

    Qi Zhang

  4. Mathematics College, University of Sichuan, Chengdu, China

    Quan Zheng

Authors
  1. Steven Lu
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  2. Yuping Tu
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  3. Qi Zhang
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  4. Quan Zheng
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Correspondence to Qi Zhang.

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Lu, S., Tu, Y., Zhang, Q. et al. On semistability of Albanese maps. manuscripta math. 131, 531–535 (2010). https://doi.org/10.1007/s00229-009-0322-z

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  • DOI: https://doi.org/10.1007/s00229-009-0322-z

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