{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T02:19:24Z","timestamp":1783131564022,"version":"3.54.6"},"reference-count":18,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,5,20]],"date-time":"2026-05-20T00:00:00Z","timestamp":1779235200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000038","name":"NSERC","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000038","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["JP21H00975"],"award-info":[{"award-number":["JP21H00975"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["JP18KK0389"],"award-info":[{"award-number":["JP18KK0389"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Advances in Applied Mathematics"],"published-print":{"date-parts":[[2026,9]]},"DOI":"10.1016\/j.aam.2026.103113","type":"journal-article","created":{"date-parts":[[2026,5,26]],"date-time":"2026-05-26T10:17:05Z","timestamp":1779790625000},"page":"103113","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":1,"special_numbering":"C","title":["On Ziegler's conjectures for logarithmic derivations of arrangements"],"prefix":"10.1016","volume":"179","author":[{"given":"Takuro","family":"Abe","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Graham","family":"Denham","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.aam.2026.103113_br0010","first-page":"100","article-title":"Roots of characteristic polynomials and intersection points of line arrangements","volume":"8","author":"Abe","year":"2014","journal-title":"J. Singul."},{"issue":"1","key":"10.1016\/j.aam.2026.103113_br0020","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1007\/s00222-015-0615-7","article-title":"Divisionally free arrangements of hyperplanes","volume":"204","author":"Abe","year":"2016","journal-title":"Invent. Math."},{"issue":"1\u20132","key":"10.1016\/j.aam.2026.103113_br0030","doi-asserted-by":"crossref","first-page":"581","DOI":"10.1007\/s00208-018-1713-9","article-title":"Deletion theorem and combinatorics of hyperplane arrangements","volume":"373","author":"Abe","year":"2019","journal-title":"Math. Ann."},{"issue":"11","key":"10.1016\/j.aam.2026.103113_br0060","doi-asserted-by":"crossref","first-page":"7793","DOI":"10.1090\/tran\/9196","article-title":"Projective dimensions of hyperplane arrangements","volume":"377","author":"Abe","year":"2024","journal-title":"Trans. Am. Math. Soc."},{"issue":"12","key":"10.1016\/j.aam.2026.103113_br0040","doi-asserted-by":"crossref","first-page":"9233","DOI":"10.1093\/imrn\/rnz099","article-title":"Plus-one generated and next to free arrangements of hyperplanes","author":"Abe","year":"2021","journal-title":"Int. Math. Res. Not."},{"key":"10.1016\/j.aam.2026.103113_br0050","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.jalgebra.2022.06.028","article-title":"Addition-deletion theorem for free hyperplane arrangements and combinatorics","volume":"610","author":"Abe","year":"2022","journal-title":"J. Algebra"},{"issue":"5","key":"10.1016\/j.aam.2026.103113_br0080","doi-asserted-by":"crossref","first-page":"1430","DOI":"10.1016\/j.disc.2015.12.017","article-title":"Non-recursive freeness and non-rigidity of plane arrangements","volume":"339","author":"Abe","year":"2016","journal-title":"Discrete Math."},{"key":"10.1016\/j.aam.2026.103113_br0090","doi-asserted-by":"crossref","DOI":"10.1016\/j.aam.2026.103114","article-title":"Deletion\u2013restriction for logarithmic forms on multiarrangements","author":"Abe","year":"2026","journal-title":"Adv. Appl. Math."},{"key":"10.1016\/j.aam.2026.103113_br0110","author":"Bath"},{"key":"10.1016\/j.aam.2026.103113_br0120","article-title":"Commutative Algebra","volume":"vol. 150","author":"Eisenbud","year":"1995"},{"key":"10.1016\/j.aam.2026.103113_br0130","author":"Grayson"},{"key":"10.1016\/j.aam.2026.103113_br0140","article-title":"Arrangements of Hyperplanes","volume":"vol. 300","author":"Orlik","year":"1992"},{"key":"10.1016\/j.aam.2026.103113_br0150","first-page":"265","article-title":"Theory of logarithmic differential forms and logarithmic vector fields","volume":"27","author":"Saito","year":"1980","journal-title":"J. Fac. Sci. Univ. Tokyo"},{"key":"10.1016\/j.aam.2026.103113_br0160","first-page":"293","article-title":"Arrangements of hyperplanes and their freeness I, II","volume":"27","author":"Terao","year":"1980","journal-title":"J. Fac. Sci. Univ. Tokyo"},{"issue":"2","key":"10.1016\/j.aam.2026.103113_br0170","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1007\/s00222-004-0359-2","article-title":"Characterization of a free arrangement and conjecture of Edelman and Reiner","volume":"157","author":"Yoshinaga","year":"2004","journal-title":"Invent. Math."},{"issue":"1","key":"10.1016\/j.aam.2026.103113_br0180","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1090\/S0002-9947-1993-1089421-5","article-title":"The first two obstructions to the freeness of arrangements","volume":"335","author":"Yuzvinsky","year":"1993","journal-title":"Trans. Am. Math. Soc."},{"key":"10.1016\/j.aam.2026.103113_br0190","series-title":"Singularities","first-page":"345","article-title":"Multiarrangements of hyperplanes and their freeness","volume":"vol. 90","author":"Ziegler","year":"1989"},{"key":"10.1016\/j.aam.2026.103113_br0200","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1016\/0001-8708(89)90045-5","article-title":"Combinatorial construction of logarithmic differential forms","volume":"76","author":"Ziegler","year":"1989","journal-title":"Adv. Math."}],"container-title":["Advances in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0196885826000850?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0196885826000850?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T01:41:10Z","timestamp":1783129270000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0196885826000850"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,9]]},"references-count":18,"alternative-id":["S0196885826000850"],"URL":"https:\/\/doi.org\/10.1016\/j.aam.2026.103113","relation":{},"ISSN":["0196-8858"],"issn-type":[{"value":"0196-8858","type":"print"}],"subject":[],"published":{"date-parts":[[2026,9]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"On Ziegler's conjectures for logarithmic derivations of arrangements","name":"articletitle","label":"Article Title"},{"value":"Advances in Applied Mathematics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.aam.2026.103113","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 The Author(s). Published by Elsevier Inc.","name":"copyright","label":"Copyright"}],"article-number":"103113"}}