Abstract:In this short note we correct the statement of the main result of [Trans. Amer. Math. Soc. 373 (2020), no. 3, 1909-1940]. That paper presented the rational cohomology ring of a toric arrangement by generators and relations. One of the series of relations given in the paper is indexed over the set circuits in the arrangement's arithmetic matroid. That series of relations should however be indexed over all sets with . Below we give the complete and correct presentation of the rational cohomology ring.

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中文翻译：

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“复曲面排列的同调代数的Orlik-Solomon型演示文稿”更正

摘要：在此简短说明中，我们更正了[Trans。的主要结果的陈述。阿米尔。数学。Soc。373（2020），第。3，1909-1940]。该论文通过生成器和关系展示了复曲面排列的有理同调环。本文给出的一系列关系之一是在该装置的算术拟阵中的设置电路上建立索引的。但是，该系列关系应使用索引在所有集合上。下面我们给出有理同调环的完整正确的表示。

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