Spectral Sequences
نویسنده
چکیده
In this note we give a minimal presentation of spectral sequences following EGA. We cover essentially only that part of the theory needed in algebraic geometry. In Section 2 we start with a filtration of a complex, and show how the various pieces of a spectral sequence arise. Applying these observations in Section 3 to two natural filtrations of the total complex of a bicomplex, we deduce two spectral sequences and discover that their first three pages are not mysterious at all: they consist of very natural invariants of the bicomplex, arranged in the obvious way. With this background we can study the Grothendieck spectral sequence in Section 4.
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