{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T18:16:11Z","timestamp":1725646571469},"publisher-location":"New York, NY","reference-count":11,"publisher":"Springer US","isbn-type":[{"type":"print","value":"9780387970196"},{"type":"electronic","value":"9781461396475"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1989]]},"DOI":"10.1007\/978-1-4613-9647-5_6","type":"book-chapter","created":{"date-parts":[[2011,12,27]],"date-time":"2011-12-27T03:00:25Z","timestamp":1324954825000},"page":"46-52","source":"Crossref","is-referenced-by-count":1,"title":["Practical Determination of the Dimension of an Algebraic Variety"],"prefix":"10.1007","author":[{"given":"Andr\u00e9","family":"Galligo","sequence":"first","affiliation":[]},{"given":"Carlo","family":"Traverso","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"6_CR1","unstructured":"D. Bayer, A. Galligo,Inverse systems and equidimensional decomposition of polynomial ideals ,(in preparation)."},{"key":"6_CR2","unstructured":"D. Bayer, A. Galligo, M. Stillman,Computation of the primary decomposition of polynomial ideals ,(in preparation)."},{"key":"6_CR3","first-page":"227","volume":"38","author":"H Cohn","year":"1982","unstructured":"H. Cohn,An explicit modular equation in two variables and Hilbert\u2019s Twelfth Problem, Math, of Comp. 38 (1982), 227\u2013236.","journal-title":"Math, of Comp."},{"key":"6_CR4","first-page":"556","volume":"50","author":"H Cohn","year":"1988","unstructured":"H. Cohn, J. Deutsch,An explicit modular equation in two variables for Q[???3], Math.of Comp. 50 (1988), 55T-568.","journal-title":"Math.of Comp."},{"key":"6_CR5","volume-title":"\u201cISSAC 88,\u201d Lecture Notes in Computer Science","author":"A Galligo","year":"1988","unstructured":"A. Galligo, L. Pottier, C. Traverso,Greater Easy Common Divisor and standard basis completion algorithms ,in \u201cISSAC 88,\u201d Lecture Notes in Computer Science (to appear), Springer Verlag, Berlin-Heidelberg-New York, 1988."},{"key":"6_CR6","unstructured":"M. Giusti,Combinatorial dimension theory of algebraic varieties ,Journal of Symbolic Computation (to appear)."},{"key":"6_CR7","unstructured":"P. Gianni, B. Trager, G. Zacharias,Gr\u00f6bner Basis and Primary Decomposition of Polynomial Ideals ,Journal of Symbolic Computation."},{"key":"6_CR8","first-page":"157","volume-title":"\u201cEUROCAL 83,\u201d Lecture Notes in Computer Science 162","author":"M M\u00f6ller","year":"1983","unstructured":"M. M\u00f6ller, T. Mora,The computation of Hilbert function ,in \u201cEUROCAL 83,\u201d Lecture Notes in Computer Science 162, Springer Verlag, Berlin-Heidelberg-New York, 1983, pp. 157\u2013167."},{"key":"6_CR9","first-page":"158","volume-title":"\u201cEUROCAM 82,\u201d Lecture Notes in Computer Science 144","author":"T Mora","year":"1982","unstructured":"T. Mora,An algorithm to compute the equations of tangent cones ,in \u201cEUROCAM 82,\u201d Lecture Notes in Computer Science 144 , Springer Verlag, Berlin-Heidelberg-New York, 1982, pp. 158\u2013166."},{"key":"6_CR10","volume-title":"\u201cISSAC 88,\u201d Lecture Notes in Computer Science","author":"C Traverso","year":"1988","unstructured":"C.Traverso,Gr\u00f6bner trace algorithms ,in \u201cISSAC 88,\u201d Lecture Notes in Computer Science (to appear), Springer Verlag, Berlin-Heidelberg-New York, 1988."},{"key":"6_CR11","unstructured":"C. Traverso,Experimenting the Gr\u00f6bner basis algorithm with the AlPi system ,(submitted to ISSAC 89)."}],"container-title":["Computers and Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-1-4613-9647-5_6.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,1]],"date-time":"2021-05-01T09:10:27Z","timestamp":1619860227000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-1-4613-9647-5_6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1989]]},"ISBN":["9780387970196","9781461396475"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/978-1-4613-9647-5_6","relation":{},"subject":[],"published":{"date-parts":[[1989]]}}}