Realizations of polylogarithms:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin [u.a.]
Springer
1997
|
| Series: | Lecture notes in mathematics
1650 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 343 S. |
| ISBN: | 3540624600 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
Introduction 1
I. Mixed Structures on Fundamental Groups 23
Introduction 26
1 Review of neutral Tannakian categories
and pro unipotent groups 28
2 The generic pro sheaf 38
3 The generic pro sheaf: the relative case 55
4 Families of unipotent A (7r,l)s 64
Index of Notations 72
Bibliography 74
II. The Canonical Construction of Mixed Sheaves
on Mixed Shimura Varieties 77
Introduction 80
1 Mixed Shimura data and mixed Shimura varieties 83
2 The canonical construction of sheaves: Hodge version 93
3 The canonical construction of sheaves: de Rham version 104
4 The canonical construction of sheaves: A adic version Ill
5 Conjugates of mixed Shimura varieties 117
6 The canonical construction of sheaves:
mixed systems version 127
Index of Notations 135
Bibliography 138
X
III. Polylogarithmic Extensions on Mixed Shimura Varieties.
Part I: Construction and Basic Properties 141
Introduction 144
1 Definition of polylogarithms 148
2 Rigidity 163
3 Polylogarithms associated to different unipotent extensions 171
4 The small polylogarithmic extension 181
5 Norm compatibility 185
6 Values at Levi sections 189
Index of Notations 194
Bibliography 196
IV. Polylogarithmic Extensions on Mixed Shimura Varieties.
Part II: The Classical Polylogarithm 199
Introduction 202
1 The underlying Shimura data 203
2 The topological extension underlying pol 210
3 The Hodge version of pol 214
4 The / adic version of pol 231
5 Remarks on the Tamagawa number conjecture
for Tate motives 242
Index of Notations 245
Bibliography 246
XI
V. Polylogarithmic Extensions on Mixed Shimura Varieties.
Part III: The Elliptic Polylogarithm 249
Introduction 252
1 The underlying Shimura data 255
2 The topological extension underlying pol 262
3 The Hodge de Rham version of pol 275
4 Remarks on Beilinson s conjectures for CM elliptic curves 321
Index of Notations 336
Bibliography 339
Index 341
|
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| indexdate | 2024-07-09T18:04:34Z |
| institution | BVB |
| isbn | 3540624600 |
| language | German |
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| physical | XI, 343 S. |
| publishDate | 1997 |
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| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Wildeshaus, Jörg Verfasser aut Realizations of polylogarithms Jörg Wildeshaus Berlin [u.a.] Springer 1997 XI, 343 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1650 Logarithmic functions Polylogarithmische Funktion (DE-588)4301889-0 gnd rswk-swf Polylogarithmische Funktion (DE-588)4301889-0 s DE-604 Lecture notes in mathematics 1650 (DE-604)BV000676446 1650 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007462701&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wildeshaus, Jörg Realizations of polylogarithms Lecture notes in mathematics Logarithmic functions Polylogarithmische Funktion (DE-588)4301889-0 gnd |
| subject_GND | (DE-588)4301889-0 |
| title | Realizations of polylogarithms |
| title_auth | Realizations of polylogarithms |
| title_exact_search | Realizations of polylogarithms |
| title_full | Realizations of polylogarithms Jörg Wildeshaus |
| title_fullStr | Realizations of polylogarithms Jörg Wildeshaus |
| title_full_unstemmed | Realizations of polylogarithms Jörg Wildeshaus |
| title_short | Realizations of polylogarithms |
| title_sort | realizations of polylogarithms |
| topic | Logarithmic functions Polylogarithmische Funktion (DE-588)4301889-0 gnd |
| topic_facet | Logarithmic functions Polylogarithmische Funktion |
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