Holdings: Euler systems :: THWS Bibkatalog

Euler systems:

Saved in:

Bibliographic Details
Main Author:	Rubin, Karl (Author)
Format:	Book
Language:	English
Published:	Princeton, NJ Princeton Univ. Press 2000
Series:	Annals of mathematics studies number 147
Subjects:	Algebraïsche meetkunde Discontinue groepen Getaltheorie Nombres algébriques, Théorie des Nombres p-adiques P-adische getallen Algebraic number theory p-adic numbers Kreiskörper p-adische L-Funktion Elliptische Kurve Galois-Kohomologie
Online Access:	Inhaltsverzeichnis
Physical Description:	xi, 227 Seiten Diagramme
ISBN:	0691050767 0691050759

Staff View

MARC


LEADER	00000nam a2200000 cb4500
001	BV013249923
003	DE-604
005	20241209
007	t\|
008	000713s2000 xx \|\|\|\| \|\|\|\| 00\|\|\| eng d
020			\|a 0691050767 \|c paperback \|9 0-6910-5076-7
020			\|a 0691050759 \|c hardcover \|9 0-6910-5075-9
035			\|a (OCoLC)44392822
035			\|a (DE-599)BVBBV013249923
040			\|a DE-604 \|b ger \|e rda
041	0		\|a eng
049			\|a DE-355 \|a DE-19 \|a DE-20 \|a DE-384 \|a DE-703 \|a DE-824 \|a DE-11 \|a DE-706
050		0	\|a QA247
082	0		\|a 512/.74 \|2 21
084			\|a SI 830 \|0 (DE-625)143195: \|2 rvk
084			\|a SK 180 \|0 (DE-625)143222: \|2 rvk
100	1		\|a Rubin, Karl \|e Verfasser \|4 aut
245	1	0	\|a Euler systems \|c by Karl Rubin
264		1	\|a Princeton, NJ \|b Princeton Univ. Press \|c 2000
264		4	\|c © 2000
300			\|a xi, 227 Seiten \|b Diagramme
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Annals of mathematics studies \|v number 147
490	0		\|a Hermann Weyl lectures
650		7	\|a Algebraïsche meetkunde \|2 gtt
650		7	\|a Discontinue groepen \|2 gtt
650		7	\|a Getaltheorie \|2 gtt
650		4	\|a Nombres algébriques, Théorie des
650		7	\|a Nombres algébriques, Théorie des \|2 ram
650		4	\|a Nombres p-adiques
650		7	\|a Nombres p-adiques \|2 ram
650		7	\|a P-adische getallen \|2 gtt
650		4	\|a Algebraic number theory
650		4	\|a p-adic numbers
650	0	7	\|a Kreiskörper \|0 (DE-588)4165607-6 \|2 gnd \|9 rswk-swf
650	0	7	\|a p-adische L-Funktion \|0 (DE-588)4398270-0 \|2 gnd \|9 rswk-swf
650	0	7	\|a Elliptische Kurve \|0 (DE-588)4014487-2 \|2 gnd \|9 rswk-swf
650	0	7	\|a Galois-Kohomologie \|0 (DE-588)4019172-2 \|2 gnd \|9 rswk-swf
689	0	0	\|a p-adische L-Funktion \|0 (DE-588)4398270-0 \|D s
689	0	1	\|a Galois-Kohomologie \|0 (DE-588)4019172-2 \|D s
689	0	2	\|a Kreiskörper \|0 (DE-588)4165607-6 \|D s
689	0	3	\|a Elliptische Kurve \|0 (DE-588)4014487-2 \|D s
689	0		\|5 DE-604
776	0	8	\|i Elektronische Reproduktion \|d 2014 \|z 9781400865208
830		0	\|a Annals of mathematics studies \|v number 147 \|w (DE-604)BV000000991 \|9 147
856	4	2	\|m HBZ Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009030438&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-009030438

Record in the Search Index

_version_	1817953089302298624
adam_text	Contents Acknowledgments xi Introduction 3 Notation 6 Chapter 1. Galois Cohomology of p adic Representations 9 1.1. p adic Representations 9 1.2. Galois Cohomology 11 1.3. Local Cohomology Groups 12 1.4. Local Duality 18 1.5. Global Cohomology Groups 21 1.6. Examples of Selmer Groups 23 1.7. Global Duality 28 Chapter 2. Euler Systems: Definition and Main Results 33 2.1. Euler Systems 33 2.2. Results over K 36 2.3. Results over K^ 40 2.4. Twisting by Characters of Finite Order 43 Chapter 3. Examples and Applications 47 3.1. Preliminaries 47 3.2. Cyclotomic Units 48 3.3. Elliptic Units 55 3.4. Stickelberger Elements 55 3.5. Elliptic Curves 63 3.6. Symmetric Square of an Elliptic Curve 73 Chapter 4. Derived Cohomology Classes 75 4.1. Setup 75 4.2. The Universal Euler System 78 4.3. Properties of the Universal Euler System 80 4.4. Kolyvagin's Derivative Construction 83 vii viii CONTENTS 4.5. Local Properties of the Derivative Classes 90 4.6. Local Behavior at Primes Not Dividing pr 92 4.7. Local Behavior at Primes Dividing r 98 4.8. The Congruence 102 Chapter 5. Bounding the Selmer Group 105 5.1. Preliminaries 105 5.2. Bounding the Order of the Selmer Group 106 5.3. Bounding the Exponent of the Selmer Group 114 Chapter 6. Twisting 119 6.1. Twisting Representations 119 6.2. Twisting Cohomology Groups 121 6.3. Twisting Euler Systems 122 6.4. Twisting Theorems 125 6.5. Examples and Applications 125 Chapter 7. Iwasawa Theory 129 7.1. Overview 129 7.2. Galois Groups and the Evaluation Map 135 7.3. Proof of Theorem 2.3.2 141 7.4. The Kernel and Cokernel of the Restriction Map 145 7.5. Galois Equivariance of the Evaluation Maps 147 7.6. Proof of Proposition 7.1.7 151 7.7. Proof of Proposition 7.1.9 154 Chapter 8. Euler Systems and p adic L functions 163 8.1. The Setting 164 8.2. Perrin Riou's p adic L function and Related Conjectures 166 8.3. Connection with Euler Systems when oL = 1 168 8.4. Example: Cyclotomic Units 171 8.5. Connection with Euler Systems when d_ 1 173 Chapter 9. Variants 175 9.1. Rigidity 175 9.2. Finite Primes Splitting Completely in K^/K 178 9.3. Euler Systems of Finite Depth 179 9.4. Anticyclotomic Euler Systems 180 9.5. Additional Local Conditions 183 9.6. Varying the Euler Factors 185 Appendix A. Linear Algebra 189 CONTENTS ix A.I. Herbrand Quotients 189 A.2. p adic Representations 191 Appendix B. Continuous Cohomology and Inverse Limits 195 B.I. Preliminaries 195 B.2. Continuous Cohomology 195 B.3. Inverse Limits 198 B.4. Induced Modules 201 B.5. Semilocal Galois Cohomology 202 Appendix C. Cohomology of p adic Analytic Groups 205 C.I. Irreducible Actions of Compact Groups 205 C.2. Application to Galois Representations 207 Appendix D. p adic Calculations in Cyclotomic Fields 211 D.I. Local Units in Cyclotomic Fields 211 D.2. Cyclotomic Units 216 Bibliography 219 Index of Symbols 223 Subject Index 227
any_adam_object	1
author	Rubin, Karl
author_facet	Rubin, Karl
author_role	aut
author_sort	Rubin, Karl
author_variant	k r kr
building	Verbundindex
bvnumber	BV013249923
callnumber-first	Q - Science
callnumber-label	QA247
callnumber-raw	QA247
callnumber-search	QA247
callnumber-sort	QA 3247
callnumber-subject	QA - Mathematics
classification_rvk	SI 830 SK 180
ctrlnum	(OCoLC)44392822 (DE-599)BVBBV013249923
dewey-full	512/.74
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	512 - Algebra
dewey-raw	512/.74
dewey-search	512/.74
dewey-sort	3512 274
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV013249923</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20241209</controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">000713s2000 xx \|\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0691050767</subfield><subfield code="c">paperback</subfield><subfield code="9">0-6910-5076-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0691050759</subfield><subfield code="c">hardcover</subfield><subfield code="9">0-6910-5075-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)44392822</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013249923</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA247</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.74</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 830</subfield><subfield code="0">(DE-625)143195:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 180</subfield><subfield code="0">(DE-625)143222:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Rubin, Karl</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Euler systems</subfield><subfield code="c">by Karl Rubin</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ</subfield><subfield code="b">Princeton Univ. Press</subfield><subfield code="c">2000</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xi, 227 Seiten</subfield><subfield code="b">Diagramme</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Annals of mathematics studies</subfield><subfield code="v">number 147</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Hermann Weyl lectures</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Algebraïsche meetkunde</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Discontinue groepen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Getaltheorie</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Nombres algébriques, Théorie des</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Nombres algébriques, Théorie des</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Nombres p-adiques</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Nombres p-adiques</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">P-adische getallen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebraic number theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">p-adic numbers</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kreiskörper</subfield><subfield code="0">(DE-588)4165607-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">p-adische L-Funktion</subfield><subfield code="0">(DE-588)4398270-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Elliptische Kurve</subfield><subfield code="0">(DE-588)4014487-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Galois-Kohomologie</subfield><subfield code="0">(DE-588)4019172-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">p-adische L-Funktion</subfield><subfield code="0">(DE-588)4398270-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Galois-Kohomologie</subfield><subfield code="0">(DE-588)4019172-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Kreiskörper</subfield><subfield code="0">(DE-588)4165607-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Elliptische Kurve</subfield><subfield code="0">(DE-588)4014487-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Elektronische Reproduktion</subfield><subfield code="d">2014</subfield><subfield code="z">9781400865208</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Annals of mathematics studies</subfield><subfield code="v">number 147</subfield><subfield code="w">(DE-604)BV000000991</subfield><subfield code="9">147</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009030438&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009030438</subfield></datafield></record></collection>
id	DE-604.BV013249923
illustrated	Not Illustrated
indexdate	2024-12-09T09:06:09Z
institution	BVB
isbn	0691050767 0691050759
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-009030438
oclc_num	44392822
open_access_boolean
owner	DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-20 DE-384 DE-703 DE-824 DE-11 DE-706
owner_facet	DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-20 DE-384 DE-703 DE-824 DE-11 DE-706
physical	xi, 227 Seiten Diagramme
publishDate	2000
publishDateSearch	2000
publishDateSort	2000
publisher	Princeton Univ. Press
record_format	marc
series	Annals of mathematics studies
series2	Annals of mathematics studies Hermann Weyl lectures
spelling	Rubin, Karl Verfasser aut Euler systems by Karl Rubin Princeton, NJ Princeton Univ. Press 2000 © 2000 xi, 227 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Annals of mathematics studies number 147 Hermann Weyl lectures Algebraïsche meetkunde gtt Discontinue groepen gtt Getaltheorie gtt Nombres algébriques, Théorie des Nombres algébriques, Théorie des ram Nombres p-adiques Nombres p-adiques ram P-adische getallen gtt Algebraic number theory p-adic numbers Kreiskörper (DE-588)4165607-6 gnd rswk-swf p-adische L-Funktion (DE-588)4398270-0 gnd rswk-swf Elliptische Kurve (DE-588)4014487-2 gnd rswk-swf Galois-Kohomologie (DE-588)4019172-2 gnd rswk-swf p-adische L-Funktion (DE-588)4398270-0 s Galois-Kohomologie (DE-588)4019172-2 s Kreiskörper (DE-588)4165607-6 s Elliptische Kurve (DE-588)4014487-2 s DE-604 Elektronische Reproduktion 2014 9781400865208 Annals of mathematics studies number 147 (DE-604)BV000000991 147 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009030438&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Rubin, Karl Euler systems Annals of mathematics studies Algebraïsche meetkunde gtt Discontinue groepen gtt Getaltheorie gtt Nombres algébriques, Théorie des Nombres algébriques, Théorie des ram Nombres p-adiques Nombres p-adiques ram P-adische getallen gtt Algebraic number theory p-adic numbers Kreiskörper (DE-588)4165607-6 gnd p-adische L-Funktion (DE-588)4398270-0 gnd Elliptische Kurve (DE-588)4014487-2 gnd Galois-Kohomologie (DE-588)4019172-2 gnd
subject_GND	(DE-588)4165607-6 (DE-588)4398270-0 (DE-588)4014487-2 (DE-588)4019172-2
title	Euler systems
title_auth	Euler systems
title_exact_search	Euler systems
title_full	Euler systems by Karl Rubin
title_fullStr	Euler systems by Karl Rubin
title_full_unstemmed	Euler systems by Karl Rubin
title_short	Euler systems
title_sort	euler systems
topic	Algebraïsche meetkunde gtt Discontinue groepen gtt Getaltheorie gtt Nombres algébriques, Théorie des Nombres algébriques, Théorie des ram Nombres p-adiques Nombres p-adiques ram P-adische getallen gtt Algebraic number theory p-adic numbers Kreiskörper (DE-588)4165607-6 gnd p-adische L-Funktion (DE-588)4398270-0 gnd Elliptische Kurve (DE-588)4014487-2 gnd Galois-Kohomologie (DE-588)4019172-2 gnd
topic_facet	Algebraïsche meetkunde Discontinue groepen Getaltheorie Nombres algébriques, Théorie des Nombres p-adiques P-adische getallen Algebraic number theory p-adic numbers Kreiskörper p-adische L-Funktion Elliptische Kurve Galois-Kohomologie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009030438&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000000991
work_keys_str_mv	AT rubinkarl eulersystems

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Indexes

MARC

Record in the Search Index

There is no print copy available.

Similar Items