{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T18:16:24Z","timestamp":1648664184180},"reference-count":4,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2020,12]]},"abstract":"<jats:p> We provide an explicit algorithm to compute a lifted Massey triple product relative to a defining system for a smooth projective plane curve [Formula: see text] defined by a homogeneous polynomial [Formula: see text] over a field. The main idea is to use the description (due to Carlson and Griffiths) of the cup product for [Formula: see text] in terms of the multiplications inside the Jacobian ring of [Formula: see text] and the Cech\u2013deRham complex of [Formula: see text]. Our algorithm gives a criterion whether a lifted Massey triple product vanishes or not in [Formula: see text] under a particular nontrivial defining system of the Massey triple product and thus can be viewed as a generalization of the vanishing criterion of the cup product in [Formula: see text] of Carlson and Griffiths. Based on our algorithm, we provide explicit numerical examples by running the computer program. <\/jats:p>","DOI":"10.1142\/s0218196720500587","type":"journal-article","created":{"date-parts":[[2020,8,7]],"date-time":"2020-08-07T11:53:33Z","timestamp":1596801213000},"page":"1651-1669","source":"Crossref","is-referenced-by-count":0,"title":["An algorithm for a lifted Massey triple product of a smooth projective plane curve"],"prefix":"10.1142","volume":"30","author":[{"given":"Younggi","family":"Lee","sequence":"first","affiliation":[{"name":"Department of Mathematics, POSTECH, 77 Cheongam-Ro, Namgu, Pohang, Gyeongbuk 37673, South Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jeehoon","family":"Park","sequence":"additional","affiliation":[{"name":"Department of Mathematics, POSTECH, 77 Cheongam-Ro, Namgu, Pohang, Gyeongbuk 37673, South Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Junyeong","family":"Park","sequence":"additional","affiliation":[{"name":"Department of Mathematics, POSTECH, 77 Cheongam-Ro, Namgu, Pohang, Gyeongbuk 37673, South Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jaehyun","family":"Yim","sequence":"additional","affiliation":[{"name":"Department of Mathematics, POSTECH, 77 Cheongam-Ro, Namgu, Pohang, Gyeongbuk 37673, South Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2020,9,24]]},"reference":[{"key":"S0218196720500587BIB001","first-page":"51","volume-title":"Journees de geometrie algebrique, Angers, juillet 1979","author":"Carlson J.","year":"1980"},{"issue":"3","key":"S0218196720500587BIB002","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1007\/BF01389853","volume":"29","author":"Deligne P.","year":"1975","journal-title":"Invent. Math."},{"issue":"2","key":"S0218196720500587BIB004","first-page":"125","volume":"10","author":"Park J.-S.","year":"2016","journal-title":"Commun. Number Theory Phys."},{"key":"S0218196720500587BIB005","series-title":"Progress in Mathematics","first-page":"399","volume-title":"Classification of Algebraic and Analytic Manifolds (Katata, 1982)","volume":"39","author":"Peters C.","year":"1983"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196720500587","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,21]],"date-time":"2020-11-21T02:56:17Z","timestamp":1605927377000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196720500587"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,24]]},"references-count":4,"journal-issue":{"issue":"08","published-print":{"date-parts":[[2020,12]]}},"alternative-id":["10.1142\/S0218196720500587"],"URL":"https:\/\/doi.org\/10.1142\/s0218196720500587","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,9,24]]}}}