Algebraic geometry: 3 Further study of schemes
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
2003
|
| Schriftenreihe: | Translations of mathematical monographs
218 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 222 S. : graph. Darst. |
| ISBN: | 0821813587 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | CO O TRANSLATIONS OF MATHEMATICAL MONOGRAPHS VOLUME 218 CO ALGEBRAIC
GEOMETRY 3 FURTHER STUDY OF SCHEMES KENJI UENO TRANSLATED BY GORO KATO
AMERICAN MATHEMATICAL SOCIETY K PROVIDENCE, RHODE ISLAND CONTENTS
CHAPTER 7. FUNDAMENTAL PROPERTIES OF SCHEME THEORY 1 7.1. ALGEBRAIC
SCHEMES AND ALGEBRAIC VARIETIES 2 A. MAXIMAL SPECTRUM 2 B. ALGEBRAIC
VARIETIES 7 C. ALGEBRAIC SCHEMES 9 7.2. DIMENSION 14 A. KRULL DIMENSION
14 B. DIMENSION OF A SCHEME 22 C. FUNCTION FIELDS OF ALGEBRAIC VARIETIES
AND THEIR DIMENSIONS 25 D. NORMAL SCHEMES AND REGULAR SCHEMES 26 E.
NORMALIZATION MORPHISM 37 F. WEIL DIVISORS AND CARTIER DIVISORS 39 7.3.
FLAT MORPHISMS AND PROPER MORPHISMS 52 A. FLAT MORPHISMS 53 B. FLAT
FAMILIES 59 C. CHOW S LEMMA AND THE COHOMOLOGY OF PROPER MORPHISMS 73
7.4. REGULAR SCHEMES AND SMOOTH MORPHISMS 80 A. KAHLER DIFFERENTIALS 81
B. THE SHEAF OF RELATIVE DIFFERENTIAL FORMS 88 C. REGULAR SCHEMES AND
NON-SINGULAR ALGEBRAIC VARIETIES 96 D. SMOOTH MORPHISMS 107 7.5.
COMPLETION AND ZARISKI S MAIN THEOREM 113 A. COMPLETION 113 B. FORMAL
SCHEMES AND ZARISKI S MAIN THEOREM 118 SUMMARY 121 EXERCISES - 122
CHAPTER 8. ALGEBRAIC CURVES AND JACOBIAN VARIETIES 125 8.1. ALGEBRAIC
CURVES 125 A. RIEMANN-ROCH THEOREM 125 VI CONTENTS B. ALGEBRAIC CURVES
AND ALGEBRAIC FUNCTION FIELDS 132 C. FROBENIUS MORPHISMS AND ETALE
MORPHISMS 142 8.2. JACOBIAN VARIETIES 153 A. ELLIPTIC CURVES 153 B.
GROUP SCHEMES 168 C. JACOBIAN VARIETIES 174 SUMMARY 180 EXERCISES 181
CHAPTER 9. ALGEBRAIC GEOMETRY AND ANALYTIC GEOMETRY 183 9.1. ANALYTIC
GEOMETRY 183 9.2. KODAIRA S VANISHING THEOREM 188 SUMMARY 192 EXERCISE
192 OVERVIEW AND REFERENCES 193 SOLUTIONS TO PROBLEMS 203 CHAPTER 7 203
CHAPTER 8 207 SOLUTIONS TO EXERCISES 211 CHAPTER 7 211 CHAPTER 8 214
CHAPTER 9 217
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| any_adam_object | 1 |
| author | Ueno, Kenji 1945- |
| author_GND | (DE-588)128805145 |
| author_facet | Ueno, Kenji 1945- |
| author_role | aut |
| author_sort | Ueno, Kenji 1945- |
| author_variant | k u ku |
| building | Verbundindex |
| bvnumber | BV017396089 |
| classification_rvk | SK 240 |
| ctrlnum | (OCoLC)314302666 (DE-599)BVBBV017396089 |
| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
| dewey-sort | 3516.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV017396089 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:17:30Z |
| institution | BVB |
| isbn | 0821813587 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010482467 |
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| physical | VIII, 222 S. : graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Ueno, Kenji 1945- Verfasser (DE-588)128805145 aut Daisū kika Algebraic geometry 3 Further study of schemes Kenji Ueno Providence, RI American Math. Soc. 2003 VIII, 222 S. : graph. Darst. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 218 Translations of mathematical monographs ... (DE-604)BV013264962 3 Translations of mathematical monographs 218 (DE-604)BV000002394 218 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010482467&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ueno, Kenji 1945- Algebraic geometry Translations of mathematical monographs |
| title | Algebraic geometry |
| title_alt | Daisū kika |
| title_auth | Algebraic geometry |
| title_exact_search | Algebraic geometry |
| title_full | Algebraic geometry 3 Further study of schemes Kenji Ueno |
| title_fullStr | Algebraic geometry 3 Further study of schemes Kenji Ueno |
| title_full_unstemmed | Algebraic geometry 3 Further study of schemes Kenji Ueno |
| title_short | Algebraic geometry |
| title_sort | algebraic geometry further study of schemes |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010482467&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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