Arithmetically Cohen–Macaulay bundles on hypersurfaces
نویسندگان
چکیده
منابع مشابه
Arithmetically Cohen-macaulay Bundles on Hypersurfaces
We prove that any rank two arithmetically CohenMacaulay vector bundle on a general hypersurface of degree at least three in P must be split.
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We prove that any rank two arithmetically CohenMacaulay vector bundle on a general hypersurface of degree at least six in P must be split.
متن کاملArithmetically Cohen-macaulay Bundles on Three Dimensional Hypersurfaces
We prove that any rank two arithmetically CohenMacaulay vector bundle on a general hypersurface of degree at least six in P must be split.
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We prove that on a generic hypersurface in P of dimension at least 3, a vector bundle with r ≤ m generators must be split if m is odd. If m is even, then the same is true if the degree of X is at least 3.
متن کاملStable bundles on 3-fold hypersurfaces
Using monads, we construct a large class of stable bundles of rank 2 and 3 on 3-fold hypersurfaces, and study the set of all possible Chern classes of stable vector bundles. 2000 MSC: 14J60; 14F05
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 2007
ISSN: 0010-2571
DOI: 10.4171/cmh/111