Some Spectral Sequences for Filtered Complexes and Applications

✍ Scribed by K.H. Paranjape

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 173 KB
• Volume: 186
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1996.0395

✦ Synopsis

We construct a hierarchy of spectral sequences for a filtered complex under a Ž . left-exact functor. As applications we prove 1 the existence of a Leray spectral Ž . sequence for de Rham cohomology, 2 the equivalence of this sequence with the ''usual'' Leray spectral spectral sequence under the comparison isomorphism, and Ž . 3 the isomorphism of the Bloch᎐Ogus spectral sequence with the Leray spectral sequence for the morphism from the fine site to the Zariski site.