{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,21]],"date-time":"2025-06-21T09:24:13Z","timestamp":1750497853292,"version":"3.38.0"},"publisher-location":"Berlin, Heidelberg","reference-count":13,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642235672"},{"type":"electronic","value":"9783642235689"}],"license":[{"start":{"date-parts":[[2011,1,1]],"date-time":"2011-01-01T00:00:00Z","timestamp":1293840000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2011]]},"DOI":"10.1007\/978-3-642-23568-9_3","type":"book-chapter","created":{"date-parts":[[2011,8,31]],"date-time":"2011-08-31T00:37:54Z","timestamp":1314751074000},"page":"25-36","source":"Crossref","is-referenced-by-count":1,"title":["Topology of Families of Implicit Algebraic Surfaces Depending on a Parameter"],"prefix":"10.1007","author":[{"given":"Juan Gerardo","family":"Alc\u00e1zar","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"3_CR1","doi-asserted-by":"crossref","unstructured":"Alberti, L., Mourrain, B., Tecourt, J.P.: Isotopic Triangulation of a Real Algebraic Surface. Journal of Symbolic Computation\u00a044(9), 1291\u20131310 (2009)","DOI":"10.1016\/j.jsc.2008.02.007"},{"key":"3_CR2","doi-asserted-by":"publisher","first-page":"678","DOI":"10.1016\/j.jsc.2007.02.001","volume":"42","author":"J.G. Alcazar","year":"2007","unstructured":"Alcazar, J.G., Schicho, J., Sendra, R.: A Delineability-based Method for Computing Critical Sets of Algebraic Surfaces. Journal of Symbolic Computation\u00a042, 678\u2013691 (2007)","journal-title":"Journal of Symbolic Computation"},{"key":"3_CR3","unstructured":"Alcazar, J.G.: Applications of Level Curves to Some Problems on Algebraic Surfaces. In: Lamb\u00e1n, L., Romero, A., Rubio, J. (eds.) Contribuciones Cient\u00edficas en honor de Mirian Andr\u00e9s G\u00f3mez, pp. 105\u2013122. Univ. La Rioja (2010)"},{"issue":"2","key":"3_CR4","doi-asserted-by":"publisher","first-page":"162","DOI":"10.1016\/j.cagd.2009.11.004","volume":"27","author":"J.G. Alcazar","year":"2009","unstructured":"Alcazar, J.G.: On the Different Shapes Arising in a Family of Rational Curves Depending on a Parameter. Computer Aided Geometric Design\u00a027(2), 162\u2013178 (2009)","journal-title":"Computer Aided Geometric Design"},{"key":"3_CR5","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-05355-3","volume-title":"Algorithms in Real Algebraic Geometry","author":"S. Basu","year":"2003","unstructured":"Basu, S., Pollack, R., Roy, M.F.: Algorithms in Real Algebraic Geometry. Springer, Heidelberg (2003)"},{"issue":"6","key":"3_CR6","doi-asserted-by":"publisher","first-page":"627","DOI":"10.1016\/j.cagd.2009.03.006","volume":"26","author":"E. Berberich","year":"2009","unstructured":"Berberich, E., Sagraloff, M.: A generic and flexible framework for the geometrical and topological analysis of (algebraic) surfaces. Computer Aided Geometric Design\u00a026(6), 627\u2013647 (2009)","journal-title":"Computer Aided Geometric Design"},{"key":"#cr-split#-3_CR7.1","doi-asserted-by":"crossref","unstructured":"Berberich, E., Kerber, M., Sagraloff, M.: An Efficient Algorithm for the Stratification and Triangulation of Algebraic Surfaces. Computational Geometry: Theory and Applications??43(3), 257???278 (2009);","DOI":"10.1016\/j.comgeo.2009.01.009"},{"key":"#cr-split#-3_CR7.2","unstructured":"Special Issue on 24th Annual Symposium on Computational Geometry"},{"issue":"5","key":"3_CR8","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1006\/jsco.2001.0463","volume":"32","author":"C.W. Brown","year":"2001","unstructured":"Brown, C.W.: Improved Projection for Cylindrical Algebraic Decomposition. Journal of Symbolic Computation\u00a032(5), 447\u2013465 (2001)","journal-title":"Journal of Symbolic Computation"},{"key":"3_CR9","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2181-2","volume-title":"Ideals, Varieties and Algorithms","author":"D. Cox","year":"1992","unstructured":"Cox, D., Little, J., O\u2019Shea, D.: Ideals, Varieties and Algorithms. Springer, Heidelberg (1992)"},{"key":"3_CR10","doi-asserted-by":"publisher","first-page":"242","DOI":"10.1007\/978-3-7091-9459-1_12","volume-title":"Quantifier Elimination and Cylindrical Algebraic Decomposition","author":"S. MacCallum","year":"1998","unstructured":"MacCallum, S.: An Improved Projection Operation for Cylindrical Algebraic Decomposition. In: Caviness, B.F., Johnson, J.R. (eds.) Quantifier Elimination and Cylindrical Algebraic Decomposition, pp. 242\u2013268. Springer, Heidelberg (1998)"},{"key":"3_CR11","unstructured":"Mourrain, B., Tecourt, J.P.: Isotopic Meshing of a Real Algebraic Surface, Rapport de recherche, n 5508. Unite de Recherche INRIA Sophia Antipolis (2005)"},{"key":"3_CR12","doi-asserted-by":"crossref","unstructured":"Winkler, F.: Polynomial Algorithms in Computer Algebra. Springer Verlag, ACM Press (1996)","DOI":"10.1007\/978-3-7091-6571-3"}],"container-title":["Lecture Notes in Computer Science","Computer Algebra in Scientific Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-23568-9_3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,9]],"date-time":"2025-03-09T12:33:47Z","timestamp":1741523627000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-23568-9_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011]]},"ISBN":["9783642235672","9783642235689"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-23568-9_3","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2011]]}}}