The broken circuit complex and the hypersolvable partition complex

الملخص EN

In this paper we construct the broken circuit complex of a hypersolvabler-arrangement A by using the hyper solvable partition analogue and the hypersoivabie ordering which respects the hyper solvable structure.

We used the minimal information's that encoded in the intersection lattice all pattern up to dimension two to define an isomorphism between the broken circuit complexes of P any two super solvable arrangements which enable us to produce a comparison between the structures of the broken circuit complexes of a hyper solvable arrangement and their SFJ ambu's-Papadima deformed super solvable arrangements.