# Double complexes and complex manifolds

## Jonas Stelzig

created by daniele on 06 May 2018
modified on 08 May 2018

24 may 2018 -- 15:30

Aula 8, DiMaI, Firenze

Abstract.

Every (bounded) double complex over a field decomposes as a direct sum of very simple parts: So-called squares' and zigzags'. From this point of view, the double complexes of $\mathbb{C}$-valued forms on compact complex manifolds will be investigated. Known restrictions on the occurring simple parts will be surveyed and some new results, e.g. a formula for the double complex of a blow-up, will be given.

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