Ruled Varieties: An Introduction to Algebraic Differential Geometry
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Wiesbaden
Vieweg+Teubner Verlag
2001
|
| Series: | Advanced Lectures in Mathematics
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Ruled varieties are unions of a family of linear spaces. They are objects of algebraic geometry as well as differential geometry, especially if the ruling is developable. This book is an introduction to both aspects, the algebraic and differential one. Starting from very elementary facts, the necessary techniques are developed, especially concerning Grassmannians and fundamental forms in a version suitable for complex projective algebraic geometry. Finally, this leads to recent results on the classification of developable ruled varieties and facts about tangent and secant varieties. Compared to many other topics of algebraic geometry, this is an area easily accessible to a graduate course |
| Physical Description: | 1 Online-Ressource (X, 142p) |
| ISBN: | 9783322802170 9783528031381 |
| ISSN: | 0932-7134 |
| DOI: | 10.1007/978-3-322-80217-0 |
Staff View
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Mathematik |
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| id | DE-604.BV042422355 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783322802170 9783528031381 |
| issn | 0932-7134 |
| language | English |
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| spelling | Fischer, Gerd Verfasser aut Ruled Varieties An Introduction to Algebraic Differential Geometry by Gerd Fischer, Jens Piontkowski Wiesbaden Vieweg+Teubner Verlag 2001 1 Online-Ressource (X, 142p) txt rdacontent c rdamedia cr rdacarrier Advanced Lectures in Mathematics 0932-7134 Ruled varieties are unions of a family of linear spaces. They are objects of algebraic geometry as well as differential geometry, especially if the ruling is developable. This book is an introduction to both aspects, the algebraic and differential one. Starting from very elementary facts, the necessary techniques are developed, especially concerning Grassmannians and fundamental forms in a version suitable for complex projective algebraic geometry. Finally, this leads to recent results on the classification of developable ruled varieties and facts about tangent and secant varieties. Compared to many other topics of algebraic geometry, this is an area easily accessible to a graduate course Mathematics Geometry Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Tangentenvarietät (DE-588)4640697-9 gnd rswk-swf Sekantenvarietät (DE-588)4640696-7 gnd rswk-swf Abwickelbare Varietät (DE-588)4640698-0 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Geregelte Varietät (DE-588)4640695-5 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 s Algebraische Geometrie (DE-588)4001161-6 s 1\p DE-604 Geregelte Varietät (DE-588)4640695-5 s 2\p DE-604 Tangentenvarietät (DE-588)4640697-9 s 3\p DE-604 Abwickelbare Varietät (DE-588)4640698-0 s 4\p DE-604 Sekantenvarietät (DE-588)4640696-7 s 5\p DE-604 Piontkowski, Jens Sonstige oth https://doi.org/10.1007/978-3-322-80217-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fischer, Gerd Ruled Varieties An Introduction to Algebraic Differential Geometry Mathematics Geometry Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd Tangentenvarietät (DE-588)4640697-9 gnd Sekantenvarietät (DE-588)4640696-7 gnd Abwickelbare Varietät (DE-588)4640698-0 gnd Differentialgeometrie (DE-588)4012248-7 gnd Geregelte Varietät (DE-588)4640695-5 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4640697-9 (DE-588)4640696-7 (DE-588)4640698-0 (DE-588)4012248-7 (DE-588)4640695-5 |
| title | Ruled Varieties An Introduction to Algebraic Differential Geometry |
| title_auth | Ruled Varieties An Introduction to Algebraic Differential Geometry |
| title_exact_search | Ruled Varieties An Introduction to Algebraic Differential Geometry |
| title_full | Ruled Varieties An Introduction to Algebraic Differential Geometry by Gerd Fischer, Jens Piontkowski |
| title_fullStr | Ruled Varieties An Introduction to Algebraic Differential Geometry by Gerd Fischer, Jens Piontkowski |
| title_full_unstemmed | Ruled Varieties An Introduction to Algebraic Differential Geometry by Gerd Fischer, Jens Piontkowski |
| title_short | Ruled Varieties |
| title_sort | ruled varieties an introduction to algebraic differential geometry |
| title_sub | An Introduction to Algebraic Differential Geometry |
| topic | Mathematics Geometry Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd Tangentenvarietät (DE-588)4640697-9 gnd Sekantenvarietät (DE-588)4640696-7 gnd Abwickelbare Varietät (DE-588)4640698-0 gnd Differentialgeometrie (DE-588)4012248-7 gnd Geregelte Varietät (DE-588)4640695-5 gnd |
| topic_facet | Mathematics Geometry Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Algebraische Geometrie Tangentenvarietät Sekantenvarietät Abwickelbare Varietät Differentialgeometrie Geregelte Varietät |
| url | https://doi.org/10.1007/978-3-322-80217-0 |
| work_keys_str_mv | AT fischergerd ruledvarietiesanintroductiontoalgebraicdifferentialgeometry AT piontkowskijens ruledvarietiesanintroductiontoalgebraicdifferentialgeometry |