## The logarithmic forms of $k$-generic arrangements

J. Math. Sci. Univ. Tokyo
Vol. 3 (1996), No. 1, Page 83--89.

Lee, Ki-Suk ; Terao, Hiroaki
The logarithmic forms of $k$-generic arrangements
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]

Abstract:
A (central) arrangement $\A$ is a finite family of one codimensional subspaces of a vector space $V$. Relations between the module of logarithmic forms of $\A$ and the module of logarithmic forms of $\A \setminus \{ H \}$ are studied. It is found that the logarithmic $q$-forms of $\A$ are generated by the logarithmic forms of the type ${d Î± } \over Î±$ if $\A$ is $k$-generic and $q \leq k-2$.

Mathematics Subject Classification (1991): Primary 52B30; Secondary 32S25
Mathematical Reviews Number: MR1414621

Received: 1995-02-20