{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T17:31:44Z","timestamp":1775842304594,"version":"3.50.1"},"reference-count":4,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2012,5]]},"abstract":"<jats:p> We study the Hilbert scheme of points on a cusp curve, mostly the punctual Hilbert scheme [Formula: see text] which parameterizes m points supported at a cusp. We show that the reduced punctual scheme [Formula: see text] is isomorphic to \u2119<jats:sup>1<\/jats:sup> and the Hilbert scheme has one singularity along [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s0218196712500257","type":"journal-article","created":{"date-parts":[[2012,1,18]],"date-time":"2012-01-18T08:39:47Z","timestamp":1326875987000},"page":"1250025","source":"Crossref","is-referenced-by-count":1,"title":["A NOTE ON THE HILBERT SCHEME OF POINTS ON A CUSP CURVE"],"prefix":"10.1142","volume":"22","author":[{"given":"HWAYOUNG","family":"LEE","sequence":"first","affiliation":[{"name":"School of Mathematics, Korea Institute for Advanced Study Seoul, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,5,6]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-96754-2"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-03276-3"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2005.06.028"},{"key":"rf5","volume-title":"Deformations of Algebraic Schemes","author":"Sernesi E.","year":"2006"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196712500257","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:03:35Z","timestamp":1565121815000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196712500257"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,5]]},"references-count":4,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2012,5,6]]},"published-print":{"date-parts":[[2012,5]]}},"alternative-id":["10.1142\/S0218196712500257"],"URL":"https:\/\/doi.org\/10.1142\/s0218196712500257","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,5]]}}}