Characterization of a free arrangement and conjecture of Edelman and Reiner

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Freeness of hyperplane arrangements and related topics (2012, background): “s. (For example, see Figure 2 for A[−1,1] G2 .) 24 M.YOSHINAGA 3.1. Freeness of Extended Catalan and Shi arrangements. The next result was originally conjectured by Edelman-Reiner [12]. Theorem 3.1. ([47]) Let k be a nonnegative integer. (i) The cone cA[−k,k] Φ of the extended Catalan arrangement A ”
Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups (2006, background): “is [3, Question 6.2] before it was proved uniformly by Yoshinaga [118, Theorem 1.2]. The characteristic polynomial of a hyperplane arrangement will be discussed brieﬂy in Section 5.3. Theorem 5.1.16 ([118]). Given a Weyl group W and positive integer k, the characteristic polynomial of the extended S”
Divisionally free arrangements of hyperplanes (2015, methodology): “It is proved by Yoshinaga in [21] that Shi is free with exponents (1, kh, .”
Freeness of conic-line arrangements in P2 (2009, unknown): “10 (Yoshinaga’s multiarrangement criterion, [16]).”
THE CHARACTERISTIC POLYNOMIAL OF A MULTIARRANGEMENT (2006, background): “Later in [14] and [15] Yoshinaga found that the derivation modules of multiarrangements are important for the study of free arrangements.”
Plus-one Generated and Next to Free Arrangements of Hyperplanes (2018, background): “This is the Shi arrangement of the type Bl, which is free with exp(A) = (1, (2l)) by [21].”