Hyperplane sections of Calabi-Yau varieties
نویسندگان
چکیده
منابع مشابه
Hyperplane Sections of Calabi-yau Varieties
Theorem. If W is a smooth complex projective variety with h(OW ) = 0, then a sufficiently ample smooth divisor X on W cannot be a hyperplane section of a Calabi-Yau variety, unless W is itself a Calabi-Yau. Corollary. A smooth hypersurface of degree d in P (n ≥ 2) is a hyperplane section of a Calabi-Yau variety iff n + 2 ≤ d ≤ 2n + 2. The method is to construct out of the variety W a universal ...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2002
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crll.2002.027