Relative cohomology with respect to a Lefschetz pencil
نویسندگان
چکیده
منابع مشابه
Relative Cohomology with Respect to a Lefschetz Pencil
Let M be a complex projective manifold of dimension n+1 and f a meromorphic function on M obtained by a generic pencil of hyperplane sections of M . The n-th cohomology vector bundle of f0 = f |M−R, where R is the set of indeterminacy points of f , is defined on the set of regular values of f0 and we have the usual Gauss-Manin connection on it. Following Brieskorn’s methods in [Br], we extend t...
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Let $(R,fm,k)$ be a local Gorenstein ring of dimension $n$. Let $H_{I,J}^i(R)$ be the local cohomology with respect to a pair of ideals $I,J$ and $c$ be the $inf{i|H_{I,J}^i(R)neq0}$. A pair of ideals $I, J$ is called cohomologically complete intersection if $H_{I,J}^i(R)=0$ for all $ineq c$. It is shown that, when $H_{I,J}^i(R)=0$ for all $ineq c$, (i) a minimal injective resolution of $H_{I,...
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ژورنال
عنوان ژورنال: Journal fur die reine und angewandte Mathematik (Crelles Journal)
سال: 2006
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle.2006.039