A (central) arrangement A is a finite family of one codimensional subspaces of a vector space V. It is known that generic arrangements are pure. In this paper, we define k-pure arrangements and prove that every k-generic arrangement is k-pure. Also we...
A (central) arrangement A is a finite family of one codimensional subspaces of a vector space V. It is known that generic arrangements are pure. In this paper, we define k-pure arrangements and prove that every k-generic arrangement is k-pure. Also we show that if A is a k-pure arrangement, the module of logarithmic q-forms of A ∪ {H} can be easily obtamed from the the module of logarithmic forms of A, if q ≤ k - 2 and H is generic to A.