{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T17:34:40Z","timestamp":1743010480402,"version":"3.40.3"},"publisher-location":"Cham","reference-count":13,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030816971"},{"type":"electronic","value":"9783030816988"}],"license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-3-030-81698-8_10","type":"book-chapter","created":{"date-parts":[[2021,7,19]],"date-time":"2021-07-19T16:03:19Z","timestamp":1626710599000},"page":"137-151","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Maple Package to Deal with the Birationality of Curves and Surfaces Parametrizations"],"prefix":"10.1007","author":[{"given":"Jorge","family":"Caravantes","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sonia","family":"P\u00e9rez\u2013D\u00edaz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. Rafael","family":"Sendra","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,7,20]]},"reference":[{"key":"10_CR1","doi-asserted-by":"publisher","first-page":"206","DOI":"10.1016\/j.jalgebra.2017.12.028","volume":"501","author":"J Caravantes","year":"2018","unstructured":"Caravantes, J., Sendra, J.R., Sevilla, D., Villarino, C.: On the existence of birational surjective parametrizations of affine surfaces. J. Algebra 501, 206\u2013214 (2018)","journal-title":"J. Algebra"},{"key":"10_CR2","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"publisher","first-page":"144","DOI":"10.1007\/BFb0066642","volume-title":"Algebraic Geometry","author":"A Holme","year":"1979","unstructured":"Holme, A.: On the dual of a smooth variety. In: L\u00f8nsted, K. (ed.) Algebraic Geometry. LNM, vol. 732, pp. 144\u2013156. Springer, Heidelberg (1979). https:\/\/doi.org\/10.1007\/BFb0066642"},{"key":"10_CR3","volume-title":"Fundamentals of Computer Aided Geometric Design","author":"J Hoschek","year":"1993","unstructured":"Hoschek, J., Lasser, D.: Fundamentals of Computer Aided Geometric Design. A.K. Peters Ltd., Natick (1993)"},{"issue":"1\u20133","key":"10_CR4","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1016\/j.jpaa.2004.02.011","volume":"193","author":"S P\u00e9rez-D\u00edaz","year":"2004","unstructured":"P\u00e9rez-D\u00edaz, S., Sendra, J.R.: Computation of the degree of rational surface parametrizations. J. Pure Appl. Algebra 193(1\u20133), 99\u2013121 (2004)","journal-title":"J. Pure Appl. Algebra"},{"issue":"4","key":"10_CR5","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1016\/j.cagd.2006.01.001","volume":"23","author":"S P\u00e9rez-D\u00edaz","year":"2006","unstructured":"P\u00e9rez-D\u00edaz, S.: On the problem of proper reparametrization for rational curves and surfaces. Comput. Aided Geom. Des. 23(4), 307\u2013323 (2006)","journal-title":"Comput. Aided Geom. Des."},{"issue":"8","key":"10_CR6","doi-asserted-by":"publisher","first-page":"743","DOI":"10.1016\/j.cagd.2013.06.003","volume":"30","author":"S P\u00e9rez-D\u00edaz","year":"2013","unstructured":"P\u00e9rez-D\u00edaz, S.: A partial solution to the problem of proper reparametrization for rational surfaces. Comput. Aided Geom. Des. 30(8), 743\u2013759 (2013)","journal-title":"Comput. Aided Geom. Des."},{"issue":"2","key":"10_CR7","doi-asserted-by":"publisher","first-page":"118","DOI":"10.1016\/j.jsc.2007.10.001","volume":"43","author":"S P\u00e9rez-D\u00edaz","year":"2008","unstructured":"P\u00e9rez-D\u00edaz, S., Sendra, J.R.: A univariate resultant-based implicitization algorithm for surfaces. J. Symb. Comput. 43(2), 118\u2013139 (2008)","journal-title":"J. Symb. Comput."},{"key":"10_CR8","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1006\/jsco.1997.0199","volume":"26","author":"J Schicho","year":"1998","unstructured":"Schicho, J.: Rational parametrization of surfaces. J. Symb. Comput. 26, 1\u201329 (1998)","journal-title":"J. Symb. Comput."},{"key":"10_CR9","doi-asserted-by":"publisher","first-page":"863","DOI":"10.1006\/jsco.2002.0538","volume":"33","author":"JR Sendra","year":"2002","unstructured":"Sendra, J.R.: Normal parametrization of algebraic plane curves. J. Symb. Comput. 33, 863\u2013885 (2002)","journal-title":"J. Symb. Comput."},{"issue":"4","key":"10_CR10","doi-asserted-by":"publisher","first-page":"374","DOI":"10.1016\/j.cagd.2012.12.004","volume":"30","author":"JR Sendra","year":"2013","unstructured":"Sendra, J.R., Sevilla, D.: First steps towards radical parametrization of algebraic surfaces. Comput. Aided Geom. Des. 30(4), 374\u2013388 (2013)","journal-title":"Comput. Aided Geom. Des."},{"key":"10_CR11","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.cagd.2017.01.002","volume":"55","author":"JR Sendra","year":"2017","unstructured":"Sendra, J.R., Sevilla, D., Villarino, C.: Algebraic and algorithmic aspects of radical parametrizations. Comput. Aided Geom. Des. 55, 1\u201314 (2017)","journal-title":"Comput. Aided Geom. Des."},{"key":"10_CR12","doi-asserted-by":"publisher","unstructured":"Sendra, J.R., Winkler, F., P\u00e9rez-D\u00edaz, S.: Rational Algebraic Curves: A Computer Algebra Approach. Series: Algorithms and Computation in Mathematics, vol. 22. Springer, Heidelberg (2007). https:\/\/doi.org\/10.1007\/978-3-540-73725-4","DOI":"10.1007\/978-3-540-73725-4"},{"key":"10_CR13","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-57956-1","volume-title":"Basic Algebraic Geometry 1 - Varieties in Projective Space","author":"IR Shafarevich","year":"1994","unstructured":"Shafarevich, I.R.: Basic Algebraic Geometry 1 - Varieties in Projective Space. Springer, New York (1994)"}],"container-title":["Communications in Computer and Information Science","Maple in Mathematics Education and Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-81698-8_10","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,19]],"date-time":"2021-07-19T16:05:10Z","timestamp":1626710710000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-81698-8_10"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030816971","9783030816988"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-81698-8_10","relation":{},"ISSN":["1865-0929","1865-0937"],"issn-type":[{"type":"print","value":"1865-0929"},{"type":"electronic","value":"1865-0937"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"20 July 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"MC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Maple Conference","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Waterloo, ON","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Canada","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2020","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2 November 2020","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"6 November 2020","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"4","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"mc2020","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.maplesoft.com\/mapleconference","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}