Projective normality of finite group quotients
نویسندگان
چکیده
منابع مشابه
Projective normality of finite group quotients and EGZ theorem
In this note, we prove that for any finite dimensional vector space V over C, and for a finite cyclic group G, the projective variety P(V)/G is projectively normal with respect to the descent of O(1) ⊗|G| by a method using toric variety, and deduce the EGZ theorem as a consequence.
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In this note, we prove that the projective normality of (P(V )/G,L), the celebrated theorem of Erdös-Ginzburg-Ziv and normality of an affine semigroup are all equivalent, where V is a finite dimensional representation of a finite cyclic group G over C and L is the descent of the line bundle O(1)⊗|G|.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2008
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-08-09613-5