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    題名: A note on projective normality
    作者: Chu, Huah;Hu, Shou-Jen;Kang, Ming-Chang
    貢獻者: 淡江大學數學學系
    0002-9939;1088-6826
    日期: 2011-06
    上傳時間: 2011-10-01 21:02:56 (UTC+8)
    摘要: Let G be any finite group, G → GL(V) be a representation of G, where V is a finite-dimensional vector space over an algebraically closed field k. Theorem. Assume that either char k=0 or char k=p>0 with p∤|G|.
    Then the quotient variety P(V)/G is projectively normal with respect to the line bundle L, where L is the descent of O(1)⊗m from P(V) with m = |G|!. This partially solves a question raised in the paper of Kannan, Pattanayak and Sardar.
    關聯: American Mathematical Society 139(6), pp.1989-1992
    DOI: 10.1090/S0002-9939-2010-10777-3
    顯示於類別:[數學學系暨研究所] 期刊論文

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