Lectures on expansion techniques in algebraic geometry:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | Undetermined |
| Veröffentlicht: |
New Delhi
Navrang
1977
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| Schriftenreihe: | Lectures on mathematics and physics. Mathematics.
57. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IV, 168 S. |
Internformat
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| 245 | 1 | 0 | |a Lectures on expansion techniques in algebraic geometry |c Shreeram Shankar Abhyankar* |
| 264 | 1 | |a New Delhi |b Navrang |c 1977 | |
| 300 | |a IV, 168 S. | ||
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| 490 | 1 | |a Lectures on mathematics and physics. Mathematics. |v 57. | |
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| 830 | 0 | |a Lectures on mathematics and physics. Mathematics. |v 57. |w (DE-604)BV000015654 |9 57. | |
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Datensatz im Suchindex
| _version_ | 1804116712127201280 |
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| adam_text | iii
CONTENTS
PART ONE: MEROMORPHIC CURVES
CHAPTER I G ADIC EXPANSION AND APPROXIMATE ROOTS
S 1. Strict linear combinations ... 1
$ 2. G adic expansion of a polynomial ... 5
$ 3. Tschirnhausen operator ... 10
$ 4. Approximate roots ... 14
CHAPTER II CHARACTERISTIC SEQUENCES OF A MEROMORPHIC
CURVE
$ 5. Newton Puiseux expansion ... 17
$ 6. Characteristic sequences ... 28
CHAPTER III THE FUNDAMENTAL THEOREM
$ 7. The Main Lemmas ... 42
$ 8. The Fundamental Theorem ... 58
CHAPTER IV APPLICATIONS OF THE FUNDAMENTAL THEOREM
$ 9. Epimorphism Theorem , ,. 66
$10. Automorphism Theorem ... 79
$11. Affine curves with one place at infinity ... 81
CHAPTER V IRREDUCIBILITY, NEWTON S POLYGON
$12. Irreducibility Criterion ... 98
$13. Irreducibility of the approximate roots ... 102
$14. Newton s algebraic polygon ... 111
PART TWO: THE JACOBIAN PROBLEM
CHAPTER VI THE JACOBIAN PROBLEM
$15. Statement of the problem ... 117
$ 16. Notation ... 119
$ 17. w relation ... 120
$ 18. Structure of the w degree form ... 127
5 19. Various equivalent formulations of the Jacobian problem 140
$ 20. Jacobian problem via Newton Puiseux expansion . . . 145
$21. Solution in the Galois case ... 162
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| author | Abhyankar, Shreeram Shankar 1930- |
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| discipline | Mathematik |
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| indexdate | 2024-07-09T15:42:52Z |
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| physical | IV, 168 S. |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | Navrang |
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| series | Lectures on mathematics and physics. Mathematics. |
| series2 | Lectures on mathematics and physics. Mathematics. |
| spelling | Abhyankar, Shreeram Shankar 1930- Verfasser (DE-588)119137569 aut Lectures on expansion techniques in algebraic geometry Shreeram Shankar Abhyankar* New Delhi Navrang 1977 IV, 168 S. txt rdacontent n rdamedia nc rdacarrier Lectures on mathematics and physics. Mathematics. 57. Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 s DE-604 Lectures on mathematics and physics. Mathematics. 57. (DE-604)BV000015654 57. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001482136&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Abhyankar, Shreeram Shankar 1930- Lectures on expansion techniques in algebraic geometry Lectures on mathematics and physics. Mathematics. Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4001161-6 |
| title | Lectures on expansion techniques in algebraic geometry |
| title_auth | Lectures on expansion techniques in algebraic geometry |
| title_exact_search | Lectures on expansion techniques in algebraic geometry |
| title_full | Lectures on expansion techniques in algebraic geometry Shreeram Shankar Abhyankar* |
| title_fullStr | Lectures on expansion techniques in algebraic geometry Shreeram Shankar Abhyankar* |
| title_full_unstemmed | Lectures on expansion techniques in algebraic geometry Shreeram Shankar Abhyankar* |
| title_short | Lectures on expansion techniques in algebraic geometry |
| title_sort | lectures on expansion techniques in algebraic geometry |
| topic | Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Algebraische Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001482136&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000015654 |
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