{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:39:26Z","timestamp":1750307966948,"version":"3.41.0"},"publisher-location":"New York, NY, USA","reference-count":19,"publisher":"ACM","license":[{"start":{"date-parts":[[2007,7,29]],"date-time":"2007-07-29T00:00:00Z","timestamp":1185667200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2007,7,29]]},"DOI":"10.1145\/1277548.1277571","type":"proceedings-article","created":{"date-parts":[[2007,12,7]],"date-time":"2007-12-07T19:19:41Z","timestamp":1197055181000},"page":"159-166","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Systems of three polynomials with two separated variables"],"prefix":"10.1145","author":[{"given":"Mohamed","family":"Elkadi","sequence":"first","affiliation":[{"name":"Universit\u00e9 de Nice"}]},{"given":"Andr\u00e9","family":"Galligo","sequence":"additional","affiliation":[{"name":"Universit\u00e9 de Nice"}]}],"member":"320","published-online":{"date-parts":[[2007,7,29]]},"reference":[{"key":"e_1_3_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1137\/0122009"},{"key":"e_1_3_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2004.01.016"},{"key":"e_1_3_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.crma.2003.12.019"},{"key":"e_1_3_2_1_4_1","volume-title":"Submited","author":"Bus\u00e9 L.","year":"2006","unstructured":"L. Bus\u00e9 , M. Elkadi , and A. Galligo , Intersection and self-intersection of surfaces by means of bezoutian matrices ,, Submited , ( 2006 ). L. Bus\u00e9, M. Elkadi, and A. Galligo, Intersection and self-intersection of surfaces by means of bezoutian matrices,, Submited, (2006)."},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1999.0304"},{"key":"e_1_3_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-4049(00)00144-4"},{"key":"e_1_3_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(95)90926-C"},{"key":"e_1_3_2_1_8_1","volume-title":"Undergraduate Texts in Mathematics","author":"Cox D.","year":"1997","unstructured":"D. Cox , J. Little , and D. O'Shea , Ideals , varieties, and algorithms , Undergraduate Texts in Mathematics , Springer-Verlag , New York , second ed., 1997 . An introduction to computational algebraic geometry and commutative algebra. D. Cox, J. Little, and D. O'Shea, Ideals, varieties, and algorithms, Undergraduate Texts in Mathematics, Springer-Verlag, New York, second ed., 1997. An introduction to computational algebraic geometry and commutative algebra."},{"key":"e_1_3_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2005.08.016"},{"key":"e_1_3_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-33275-6"},{"key":"e_1_3_2_1_11_1","series-title":"Algorithms Comput","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1007\/3-540-27357-3_7","volume-title":"Solving polynomial equations","author":"Emiris I. Z.","year":"2005","unstructured":"I. Z. Emiris , Toric resultants and applications to geometric modelling , in Solving polynomial equations , vol. 14 of Algorithms Comput . Math., Springer , Berlin, 2005 , pp. 269 -- 300 . I. Z. Emiris, Toric resultants and applications to geometric modelling, in Solving polynomial equations, vol. 14 of Algorithms Comput. Math., Springer, Berlin, 2005, pp. 269--300."},{"key":"e_1_3_2_1_12_1","volume-title":"Birkh\u00e4\u00e4user Boston Inc.","author":"I. M.","year":"1994","unstructured":"I. M. Gel 'fand, M. M. Kapranov , and A. V. Zelevinsky , Discriminants, resultants, and multidimensional determinants, Mathematics: Theory & Applications , Birkh\u00e4\u00e4user Boston Inc. , Boston, MA , 1994 . I. M. Gel 'fand, M. M. Kapranov, and A. V. Zelevinsky, Discriminants, resultants, and multidimensional determinants, Mathematics: Theory & Applications, Birkh\u00e4\u00e4user Boston Inc., Boston, MA, 1994."},{"key":"e_1_3_2_1_13_1","first-page":"150","article-title":"Gonz\u00e1lez-Vega, A subresultant theory for multivariate polynomials","volume":"5","author":"L","year":"1990","unstructured":"L . Gonz\u00e1lez-Vega, A subresultant theory for multivariate polynomials , Extracta Math. , 5 ( 1990 ), pp. 150 -- 152 . L. Gonz\u00e1lez-Vega, A subresultant theory for multivariate polynomials, Extracta Math., 5 (1990), pp. 150--152.","journal-title":"Extracta Math."},{"key":"e_1_3_2_1_14_1","first-page":"905","article-title":"Une th\u00e9orie des sous-r\u00e9sultants pour les polyn\u00f4mes en plusieurs variables","volume":"313","year":"1991","unstructured":", Une th\u00e9orie des sous-r\u00e9sultants pour les polyn\u00f4mes en plusieurs variables , C. R. Acad. Sci. Paris S\u00e9r. I Math. , 313 ( 1991 ), pp. 905 -- 908 . , Une th\u00e9orie des sous-r\u00e9sultants pour les polyn\u00f4mes en plusieurs variables, C. R. Acad. Sci. Paris S\u00e9r. I Math., 313 (1991), pp. 905--908.","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. I Math."},{"key":"e_1_3_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(91)90031-2"},{"key":"e_1_3_2_1_16_1","first-page":"27","volume-title":"II (Kobe, 1991","author":"Kailath T.","year":"1992","unstructured":"T. Kailath and A. H. Sayed , Fast algorithms for generalized displacement structures, in Recent advances in mathematical theory of systems, control, networks and signal processing , II (Kobe, 1991 ), Mita, Tokyo , 1992 , pp. 27 -- 32 . T. Kailath and A. H. Sayed, Fast algorithms for generalized displacement structures, in Recent advances in mathematical theory of systems, control, networks and signal processing, II (Kobe, 1991), Mita, Tokyo, 1992, pp. 27--32."},{"key":"e_1_3_2_1_17_1","series-title":"Mathematics and its Applications","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-8561-3","volume-title":"Theory of commuting nonselfadjoint operators","author":"Liv\u0161ic M. S.","year":"1995","unstructured":"M. S. Liv\u0161ic , N. Kravitsky , A. S. Markus , and V. Vinnikov , Theory of commuting nonselfadjoint operators , vol. 332 of Mathematics and its Applications , Kluwer Academic Publishers Group , Dordrecht , 1995 . M. S. Liv\u0161ic, N. Kravitsky, A. S. Markus, and V. Vinnikov, Theory of commuting nonselfadjoint operators, vol. 332 of Mathematics and its Applications, Kluwer Academic Publishers Group, Dordrecht, 1995."},{"key":"e_1_3_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1006\/jcom.1999.0530"},{"key":"e_1_3_2_1_19_1","volume-title":"Basic algebraic geometry. 1","author":"Shafarevich I. R.","year":"1994","unstructured":"I. R. Shafarevich , Basic algebraic geometry. 1 , Springer-Verlag , Berlin , second ed., 1994 . Varieties in projective space, Translated from the 1988 Russian edition and with notes by Miles Reid. I. R. Shafarevich, Basic algebraic geometry. 1, Springer-Verlag, Berlin, second ed., 1994. Varieties in projective space, Translated from the 1988 Russian edition and with notes by Miles Reid."}],"event":{"name":"ISSAC07: International Symposium on Symbolic and Algebraic Computation","sponsor":["ACM Association for Computing Machinery","SIGSAM ACM Special Interest Group on Symbolic and Algebraic Manipulation"],"location":"Waterloo Ontario Canada","acronym":"ISSAC07"},"container-title":["Proceedings of the 2007 international symposium on Symbolic and algebraic computation"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1277548.1277571","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1277548.1277571","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T14:58:13Z","timestamp":1750258693000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1277548.1277571"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,7,29]]},"references-count":19,"alternative-id":["10.1145\/1277548.1277571","10.1145\/1277548"],"URL":"https:\/\/doi.org\/10.1145\/1277548.1277571","relation":{},"subject":[],"published":{"date-parts":[[2007,7,29]]},"assertion":[{"value":"2007-07-29","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}