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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Matroid representations and free arrangements
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by Günter M. Ziegler PDF
Trans. Amer. Math. Soc. 320 (1990), 525-541 Request permission

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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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 320 (1990), 525-541
  • MSC: Primary 32C40; Secondary 05B35
  • DOI: https://doi.org/10.1090/S0002-9947-1990-0986703-7
  • MathSciNet review: 986703