純粋・応用数学(含むガロア理論)4at MATH
純粋・応用数学(含むガロア理論)4 - 暇つぶし2ch176:現代数学の系譜 雑談
20/09/05 08:21:56.27 YJxrx+O5.net
>>155
つづき
Just as ordinary cohomology of a space can be realized by differential forms for special
coeffients (i.e., R coefficients), sheaf cohomology can be realized in terms of differential forms
when the coefficients are locally-free sheaves ? holomorphic vector bundles. In particular, if
E is a holomorphic vector bundle, then Hn
(X, E) is the same as ∂-closed (0, n)-differential
forms valued in the bundle E, modulo ∂-exact differential forms.
Here are some useful facts for calculating sheaf cohomology on complex manifolds, for
coefficients in holomorphic sheaves:
(引用終り)
以上


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