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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Matroid representations and free arrangements


Author: Günter M. Ziegler
Journal: Trans. Amer. Math. Soc. 320 (1990), 525-541
MSC: Primary 32C40; Secondary 05B35
MathSciNet review: 986703
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Abstract: We show that Terao's Conjecture ("Freeness of the module of logarithmic forms at a hyperplane arrangement is determined by its abstract matroid") holds over fields with at most four elements. However, an example demonstrates that the field characteristic has to be fixed for this.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1990-0986703-7
PII: S 0002-9947(1990)0986703-7
Article copyright: © Copyright 1990 American Mathematical Society