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Rigidity of subfamilies of hypersurfaces in ℙn with maximal length of Griffiths-Yukawa coupling

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Abstract

Let f: X → U be a family of smooth hypersurfaces in ℙn of degree d > n+1 over a smooth curve U. Assume that the Griffiths-Yukawa coupling of f is non-vanishing. Then f is rigid. Moreover, we generalize it to the case when the Griffiths-Yukawa coupling of f is degenerated.

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Authors and Affiliations

  1. Department of Mathematics, East China Normal University, Shanghai, 200241, China

    Fan Peng

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  1. Fan Peng
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Correspondence to Fan Peng.

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Peng, F. Rigidity of subfamilies of hypersurfaces in ℙn with maximal length of Griffiths-Yukawa coupling. Sci. China Math. 57, 1419–1426 (2014). https://doi.org/10.1007/s11425-014-4787-1

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  • DOI: https://doi.org/10.1007/s11425-014-4787-1

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