Complexes of Sheaves and their Hypercohomology
The word sheaf is a translation of the French word faisceau. Sheaves were first introduced in the 1940s by H. Cartan [Ca] in complex analysis (following works by K. Oka [Ok] and H. Cartan himself), and by J. Leray in topology [Le]. Since then sheaves have become important in many other branches of mathematics. Whenever one wants to investigate global properties of geometric objects like functions, bundles, and so on, sheaves come into play. There are many excellent introductions to the theory of sheaves [Go] [Iv] [B-T]; we will develop here only those aspects which will be useful throughout the book. We will begin with the notion of presheaf.
KeywordsAbelian Group Exact Sequence Spectral Sequence Open Covering Cohomology Group
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