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 X with |X| = rk(X) + 1. Below we give the complete and correct presentation of the rational cohomology ring.
Corrigendum: Orlik-Solomon-type presentations for the cohomology algebra of toric arrangements
Callegaro F.
Co-primo
;D'Adderio M.Co-primo
;
2021-01-01
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 X with |X| = rk(X) + 1. Below we give the complete and correct presentation of the rational cohomology ring.File in questo prodotto:
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