Rational algebraic curves: a computer algebra approach
The central problem considered in this introduction for graduate students is the determination of rational parametrizability of an algebraic curve and, in the positive case, the computation of a good rational parametrization. This amounts to determining the genus of a curve: its complete singularity...
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| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2007
|
| Schriftenreihe: | Algorithms and computation in mathematics
22 |
| Schlagworte: | |
| Zusammenfassung: | The central problem considered in this introduction for graduate students is the determination of rational parametrizability of an algebraic curve and, in the positive case, the computation of a good rational parametrization. This amounts to determining the genus of a curve: its complete singularity structure, computing regular points of the curve in small coordinate fields, and constructing linear systems of curves with prescribed intersection multiplicities. The book discusses various optimality criteria for rational parametrizations of algebraic curves. It is ideal for graduate students and researchers in constructive algebraic curve geometry. |
| Beschreibung: | IX, 267 S. graph. Darst. 235 mm x 155 mm |
| ISBN: | 9783540737247 3540737243 |
Internformat
MARC
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| 490 | 1 | |a Algorithms and computation in mathematics |v 22 | |
| 520 | 3 | |a The central problem considered in this introduction for graduate students is the determination of rational parametrizability of an algebraic curve and, in the positive case, the computation of a good rational parametrization. This amounts to determining the genus of a curve: its complete singularity structure, computing regular points of the curve in small coordinate fields, and constructing linear systems of curves with prescribed intersection multiplicities. The book discusses various optimality criteria for rational parametrizations of algebraic curves. It is ideal for graduate students and researchers in constructive algebraic curve geometry. | |
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| 650 | 7 | |a Courbes algébriques |2 ram | |
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Datensatz im Suchindex
| _version_ | 1804137315886432256 |
|---|---|
| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| author | Sendra, J. Rafael Winkler, Franz Pérez-Díaz, Sonia |
| author_facet | Sendra, J. Rafael Winkler, Franz Pérez-Díaz, Sonia |
| author_role | aut aut aut |
| author_sort | Sendra, J. Rafael |
| author_variant | j r s jr jrs f w fw s p d spd |
| building | Verbundindex |
| bvnumber | BV023072189 |
| classification_rvk | SK 240 |
| ctrlnum | (OCoLC)494644752 (DE-599)DNB984787100 |
| dewey-full | 516.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.352 |
| dewey-search | 516.352 |
| dewey-sort | 3516.352 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| id | DE-604.BV023072189 |
| illustrated | Illustrated |
| index_date | 2024-07-02T19:33:30Z |
| indexdate | 2024-07-09T21:10:21Z |
| institution | BVB |
| isbn | 9783540737247 3540737243 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016275325 |
| oclc_num | 494644752 |
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| owner_facet | DE-29T |
| physical | IX, 267 S. graph. Darst. 235 mm x 155 mm |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Springer |
| record_format | marc |
| series | Algorithms and computation in mathematics |
| series2 | Algorithms and computation in mathematics |
| spelling | Sendra, J. Rafael Verfasser aut Rational algebraic curves a computer algebra approach J. Rafael Sendra ; Franz Winkler ; Sonia Pérez-Díaz Berlin [u.a.] Springer 2007 IX, 267 S. graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Algorithms and computation in mathematics 22 The central problem considered in this introduction for graduate students is the determination of rational parametrizability of an algebraic curve and, in the positive case, the computation of a good rational parametrization. This amounts to determining the genus of a curve: its complete singularity structure, computing regular points of the curve in small coordinate fields, and constructing linear systems of curves with prescribed intersection multiplicities. The book discusses various optimality criteria for rational parametrizations of algebraic curves. It is ideal for graduate students and researchers in constructive algebraic curve geometry. Courbes algébriques - Informatique ram Courbes algébriques ram Algebraische Kurve (DE-588)4001165-3 gnd rswk-swf Computeralgebra (DE-588)4010449-7 gnd rswk-swf Algebraische Kurve (DE-588)4001165-3 s Computeralgebra (DE-588)4010449-7 s DE-604 Winkler, Franz Verfasser aut Pérez-Díaz, Sonia Verfasser aut Algorithms and computation in mathematics 22 (DE-604)BV011131286 22 |
| spellingShingle | Sendra, J. Rafael Winkler, Franz Pérez-Díaz, Sonia Rational algebraic curves a computer algebra approach Algorithms and computation in mathematics Courbes algébriques - Informatique ram Courbes algébriques ram Algebraische Kurve (DE-588)4001165-3 gnd Computeralgebra (DE-588)4010449-7 gnd |
| subject_GND | (DE-588)4001165-3 (DE-588)4010449-7 |
| title | Rational algebraic curves a computer algebra approach |
| title_auth | Rational algebraic curves a computer algebra approach |
| title_exact_search | Rational algebraic curves a computer algebra approach |
| title_exact_search_txtP | Rational algebraic curves a computer algebra approach |
| title_full | Rational algebraic curves a computer algebra approach J. Rafael Sendra ; Franz Winkler ; Sonia Pérez-Díaz |
| title_fullStr | Rational algebraic curves a computer algebra approach J. Rafael Sendra ; Franz Winkler ; Sonia Pérez-Díaz |
| title_full_unstemmed | Rational algebraic curves a computer algebra approach J. Rafael Sendra ; Franz Winkler ; Sonia Pérez-Díaz |
| title_short | Rational algebraic curves |
| title_sort | rational algebraic curves a computer algebra approach |
| title_sub | a computer algebra approach |
| topic | Courbes algébriques - Informatique ram Courbes algébriques ram Algebraische Kurve (DE-588)4001165-3 gnd Computeralgebra (DE-588)4010449-7 gnd |
| topic_facet | Courbes algébriques - Informatique Courbes algébriques Algebraische Kurve Computeralgebra |
| volume_link | (DE-604)BV011131286 |
| work_keys_str_mv | AT sendrajrafael rationalalgebraiccurvesacomputeralgebraapproach AT winklerfranz rationalalgebraiccurvesacomputeralgebraapproach AT perezdiazsonia rationalalgebraiccurvesacomputeralgebraapproach |