{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T09:02:18Z","timestamp":1775466138020,"version":"3.50.1"},"reference-count":9,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2014,8]]},"abstract":"<jats:p> We investigate Borel ideals on the Hilbert scheme components of arithmetically Cohen\u2013Macaulay (ACM) codimension two schemes in \u2119<jats:sup>n<\/jats:sup>. We give a basic necessary criterion for a Borel ideal to be on such a component. Then considering ACM curves in \u2119<jats:sup>3<\/jats:sup> on a quadric we compute in several examples all the Borel ideals on their Hilbert scheme component. Based on this we conjecture which Borel ideals are on such a component, and for a range of Borel ideals we prove that they are on the component. <\/jats:p>","DOI":"10.1142\/s0218196714500301","type":"journal-article","created":{"date-parts":[[2014,7,15]],"date-time":"2014-07-15T01:17:57Z","timestamp":1405387077000},"page":"715-739","source":"Crossref","is-referenced-by-count":5,"title":["Borel degenerations of arithmetically Cohen\u2013Macaulay curves in \u2119<sup>3<\/sup>"],"prefix":"10.1142","volume":"24","author":[{"given":"Gunnar","family":"Fl\u00f8ystad","sequence":"first","affiliation":[{"name":"Matematisk institutt, Universitetet i Bergen, Johs. Brunsgt. 12, 5008 Bergen, Norway"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Margherita","family":"Roggero","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica, Universit\u00e1 di Torino, Via Carlo Alberto 10, 10123 Torino, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2014,9,3]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01389151"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2011.07.011"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5350-1"},{"key":"rf5","doi-asserted-by":"crossref","first-page":"423","DOI":"10.24033\/asens.1297","volume":"8","author":"Ellingsrud G.","year":"1975","journal-title":"Ann. Sci. \u00c9cole Norm. Sup. (4)"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/BF02684803"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3849-0"},{"key":"rf8","volume-title":"Computational Commutative Algebra","volume":"2","author":"Kreuzer M.","year":"2005"},{"key":"rf11","first-page":"639","volume":"4","author":"Reeves A. A.","year":"1995","journal-title":"J. Algebraic Geom."},{"key":"rf12","first-page":"235","volume":"6","author":"Reeves A.","year":"1997","journal-title":"J. Algebraic Geom."}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196714500301","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:29:23Z","timestamp":1565123363000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196714500301"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,8]]},"references-count":9,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2014,9,3]]},"published-print":{"date-parts":[[2014,8]]}},"alternative-id":["10.1142\/S0218196714500301"],"URL":"https:\/\/doi.org\/10.1142\/s0218196714500301","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,8]]}}}