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Cohomology of projective space seen by residual complex

Author: I-Chiau Huang
Journal: Trans. Amer. Math. Soc. 353 (2001), 3097-3114
MSC (2000): Primary 14F05, 14F10; Secondary 13N05
Published electronically: March 12, 2001
MathSciNet review: 1828600
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Abstract | References | Similar Articles | Additional Information


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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Additional Information

I-Chiau Huang
Affiliation: Institute of Mathematics, Academia Sinica, Nankang, Taipei 11529, Taiwan, R.O.C.

Keywords: Bott formula, injective resolution, residual complex
Received by editor(s): January 10, 2000
Published electronically: March 12, 2001
Article copyright: © Copyright 2001 American Mathematical Society

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