Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ALMOST FREE ARRANGEMENTS AND TAME ARRANGEMENTS

  • Lee, Ki-Suk (Department of Mathematics Education Korea National University of Education)
  • Published : 1997.03.01

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Abstract

The purpose of this paper is to show that if A is a tame arrangement and a hyperplane H is ageneric then $A^{H}$ is also tame. Since free arrangements are tame we can say tame we can say that almost free arrangements are tame.

Keywords

References

  1. Thesis, Univ. of Wisconsin A Combinatorial Study of the Module of Derivations of an Arrangement of Hyperplanes K. Brandt
  2. Higher Multiplicites and Almost Free Divisors and Complete Intersections J. Damon
  3. Thesis, Univ. of Wisconsin On logarithmic forms and arrangements of hyperplanes K. Lee
  4. Grundlehren der Math. Wiss. v.300 Arrangements of hyperplanes P. Oilik;H. Terao
  5. Math. Ann. v.301 Arrangements and Milnor fibers P. Orlik;H. Terao
  6. The number of critical points of a product of powers of linear functions P. Orlik;H. Terao
  7. J. Algebra v.136 A free resolution of the module of logarithmic forms of a generic arrangement L. Rose;H. Terao
  8. Advances in Math. v.76 Combinatorial construction of logarithmic differential forms G. Ziegler