| Rigidity of subfamilies of hypersurfaces in ℙ n with maximal length of Griffiths-Yukawa coupling |
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| 作者姓名： | PENG Fan |
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| 作者单位： | Department of Mathematics,East China Normal University |
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| 摘 要： | Let f:X→U be a family of smooth hypersurfaces in P nof 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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| 关 键 词： | families of hypersurfaces Griffiths-Yukawa coupling Higgs bundle variation of Hodge structures |
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