{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T11:06:33Z","timestamp":1758279993657},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2017,9]]},"abstract":"<jats:p> The purpose of this work is to extend the classification of planar point configurations with low Waldschmidt constants initiated in [M. Dumnicki, T. Szemberg and H. Tutaj-Gasi\u0144ska, Symbolic powers of planar point configurations II, J. Pure Appl. Algebra 220 (2016) 2001\u20132016] and continued in [M. Mosakhani and H. Haghighi, On the configurations of points in [Formula: see text] with the Waldschmidt constant equal to two, J. Pure Appl. Algebra 220 (2016) 3821\u20133825] for all values less than [Formula: see text]. As a consequence, we prove a conjecture of Dumnicki, Szemberg and Tutaj-Gasi\u0144ska concerning initial sequences with low first differences. <\/jats:p>","DOI":"10.1142\/s0218196717500345","type":"journal-article","created":{"date-parts":[[2017,8,14]],"date-time":"2017-08-14T06:29:09Z","timestamp":1502692149000},"page":"717-729","source":"Crossref","is-referenced-by-count":10,"title":["Initial sequences and Waldschmidt constants of planar point configurations"],"prefix":"10.1142","volume":"27","author":[{"given":"\u0141ucja","family":"Farnik","sequence":"first","affiliation":[{"name":"Faculty of Mathematics and Computer Science, Jagiellonian University, \u0141ojasiewicza 6, PL-30-348 Krak\u00f3w, Poland"}]},{"given":"J.","family":"Gwo\u017adziewicz","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Pedagogical University of Cracow, Podchora\u0327\u017cych 2, PL-30-084 Krak\u00f3w, Poland"}]},{"given":"B.","family":"Hejmej","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Pedagogical University of Cracow, Podchora\u0327\u017cych 2, PL-30-084 Krak\u00f3w, Poland"}]},{"given":"M.","family":"Lampa-Baczy\u0144ska","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Pedagogical University of Cracow, Podchora\u0327\u017cych 2, PL-30-084 Krak\u00f3w, Poland"}]},{"given":"G.","family":"Malara","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Pedagogical University of Cracow, Podchora\u0327\u017cych 2, PL-30-084 Krak\u00f3w, Poland"}]},{"given":"J.","family":"Szpond","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Pedagogical University of Cracow, Podchora\u0327\u017cych 2, PL-30-084 Krak\u00f3w, Poland"}]}],"member":"219","published-online":{"date-parts":[[2017,10,2]]},"reference":[{"key":"S0218196717500345BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/s10801-016-0693-7"},{"issue":"6","key":"S0218196717500345BIB002","first-page":"13","volume":"15","author":"Bocci C.","year":"2016","journal-title":"J. Algebra Appl."},{"key":"S0218196717500345BIB003","series-title":"Progress in Mathematics","volume-title":"Seminaire de Theorie des Nombres, Seminaire Delange-Pisot-Poitou","volume":"12","author":"Chudnovsky G. V.","year":"1981"},{"key":"S0218196717500345BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s00208-006-0044-4"},{"key":"S0218196717500345BIB006","doi-asserted-by":"publisher","DOI":"10.24033\/bsmf.1954"},{"key":"S0218196717500345BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2013.10.029"},{"key":"S0218196717500345BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2012.09.026"},{"key":"S0218196717500345BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2015.10.012"},{"key":"S0218196717500345BIB010","doi-asserted-by":"publisher","DOI":"10.1007\/s00222-012-0384-5"},{"key":"S0218196717500345BIB011","doi-asserted-by":"publisher","DOI":"10.5802\/aif.2225"},{"key":"S0218196717500345BIB012","doi-asserted-by":"publisher","DOI":"10.1007\/BF01457085"},{"key":"S0218196717500345BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/BF01504345"},{"key":"S0218196717500345BIB014","doi-asserted-by":"publisher","DOI":"10.1007\/BF03191208"},{"key":"S0218196717500345BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2013.05.027"},{"key":"S0218196717500345BIB017","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-2009-047-5"},{"key":"S0218196717500345BIB018","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0091465"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196717500345","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:16:14Z","timestamp":1565136974000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196717500345"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,9]]},"references-count":16,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2017,10,2]]},"published-print":{"date-parts":[[2017,9]]}},"alternative-id":["10.1142\/S0218196717500345"],"URL":"https:\/\/doi.org\/10.1142\/s0218196717500345","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,9]]}}}