Cohomology of projective space seen by residual complex

Huang, I-Chiau

doi:10.1090/S0002-9947-01-02686-1

Cohomology of projective space seen by residual complex
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Trans. Amer. Math. Soc. 353 (2001), 3097-3114 Request permission

Abstract:

A subcomplex of a residual complex on projective space is constructed for computing the cohomology modules of locally free sheaves. A constructive new proof of the Bott formula is given by explicitly exhibiting bases for the cohomology modules.

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