An arithmetic Riemann-Roch theorem for singular arithmetic surfaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
1996
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
573 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 120, Number 573 (first of 4 numbers) |
| Physical Description: | VIII, 174 S. |
| ISBN: | 0821804073 |
Staff View
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Record in the Search Index
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| adam_text | MEMOIRS -LIT A OFTHE AMERICAN MATHEMATICAL SOCIETY NUMBER 573 AN
ARITHMETIC RIEMANN-ROCH THEOREM FOR SINGULAR ARITHMETIC SURFACES WAYNE
AITKEN MARCH 1996 * VOLUME 120 * NUMBER 573 (FIRST OF 4 NUMBERS) * ISSN
0065-9266 AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND
CONTENTS INTRODUCTION VII CHAPTER 1. THE INTERSECTION PAIRING FOR
ONE-DIMENSIONAL SCHEMES 1 1. PRELIMINARIES 2 2. THE DETERMINANT OF
COHOMOLOGY FUNCTOR 4 3. THE NORM FUNCTOR FOR ZERO-DIMENSIONAL SCHEMES 16
4. THE DEFINITION OF THE INTERSECTION PAIRING 20 5. THE INTERSECTION
PAIRING AND NORMS 28 6. THE NORM FUNCTOR FOR DIVISORS 32 7. OTHER
PROPERTIES OF THE INTERSECTION PAIRING 38 8. EXTENSIONS OF THE BASE
FIELD 44 CHAPTER 2. THE INTERSECTION PAIRING FOR FAMILIES OF
ONE-DIMENSIONAL SCHEMES 47 1. INTRODUCTION 47 2. HORIZONTAL DIVISORS 48
3. THE NORM FUNCTOR 51 4. THE INTERSECTION PAIRING 56 5. THE DETERMINANT
OF COHOMOLOGY LINE BUNDLE 62 6. FLAT BASE CHANGE 78 CHAPTER 3. THE
RIEMANN-ROCH ISOMORPHISM 80 1. THE RELATIVE DUALIZING SHEAF 80 2. THE
ADJUNCTION FORMULA 86 3. THE DUALITY ISOMORPHISM ON DETERMINANTS 94 4.
THE RIEMANN-ROCH ISOMORPHISM 99 CHAPTER 4. INTERSECTION FUNCTIONS ON
COMPLEX CURVES 101 1. MOTIVATION: THE NON-ARCHIMEDEAN SITUATION 101 2.
THE ARCHIMEDEAN CASE: BASIC DEFINITIONS 109 3. INTERSECTION FUNCTIONS ON
NONSINGULAR CURVES 115 4. INTERSECTION FUNCTIONS ON SINGULAR CURVES: THE
EXISTENCE THEOREM 123 5. CLASSIFICATION OF INTERSECTION FUNCTIONS:
PRELIMINARIES 128 6. CLASSIFICATION OF INTERSECTION FUNCTIONS 137 7.
CHERN FORMS OF INTERSECTION FUNCTIONS 144 8. CHERN FORMS OF INTERSECTION
FUNCTIONS: PROOFS 147 9. CHERN FORMS OF INTERSECTION FUNCTIONS: ANOTHER
INTERPRETATION .... 153 CHAPTER 5. THE ARITHMETIC RIEMANN-ROCH
ISOMORPHISM 161 1. NORMS FOR DETERMINANTS OF COHOMOLOGY 161 2. THE
RIEMANN-ROCH ISOMORPHISM FOR ARITHMETIC SURFACES 171 BIBLIOGRAPHY 174
|
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| ctrlnum | (OCoLC)246282071 (DE-599)BVBBV010731155 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:57:55Z |
| institution | BVB |
| isbn | 0821804073 |
| language | English |
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| physical | VIII, 174 S. |
| publishDate | 1996 |
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| publisher | American Math. Soc. |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Aitken, Wayne 1963- Verfasser (DE-588)1137501103 aut An arithmetic Riemann-Roch theorem for singular arithmetic surfaces Wayne Aitken Providence, RI American Math. Soc. 1996 VIII, 174 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 573 Volume 120, Number 573 (first of 4 numbers) Riemann-Roch-Satz (DE-588)4288348-9 gnd rswk-swf Riemann-Roch-Satz (DE-588)4288348-9 s DE-604 American Mathematical Society: Memoirs of the American Mathematical Society 573 (DE-604)BV008000141 573 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007164388&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Aitken, Wayne 1963- An arithmetic Riemann-Roch theorem for singular arithmetic surfaces American Mathematical Society: Memoirs of the American Mathematical Society Riemann-Roch-Satz (DE-588)4288348-9 gnd |
| subject_GND | (DE-588)4288348-9 |
| title | An arithmetic Riemann-Roch theorem for singular arithmetic surfaces |
| title_auth | An arithmetic Riemann-Roch theorem for singular arithmetic surfaces |
| title_exact_search | An arithmetic Riemann-Roch theorem for singular arithmetic surfaces |
| title_full | An arithmetic Riemann-Roch theorem for singular arithmetic surfaces Wayne Aitken |
| title_fullStr | An arithmetic Riemann-Roch theorem for singular arithmetic surfaces Wayne Aitken |
| title_full_unstemmed | An arithmetic Riemann-Roch theorem for singular arithmetic surfaces Wayne Aitken |
| title_short | An arithmetic Riemann-Roch theorem for singular arithmetic surfaces |
| title_sort | an arithmetic riemann roch theorem for singular arithmetic surfaces |
| topic | Riemann-Roch-Satz (DE-588)4288348-9 gnd |
| topic_facet | Riemann-Roch-Satz |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007164388&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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