Nonabelian Jacobian of projective surfaces: geometry and representation theory
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2013
|
| Series: | Lecture notes in mathematics
2072 |
| Subjects: | |
| Online Access: | Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (VIII, 214 S.) graph. Darst. |
| ISBN: | 3642356613 9783642356629 |
| DOI: | 10.1007/978-3-642-35662-9 |
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Record in the Search Index
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|---|---|
| adam_text | NONABELIAN JACOBIAN OF PROJECTIVE SURFACES
/ REIDER, IGOR
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1 INTRODUCTION
2 NONABELIAN JACOBIAN J(X; L; D): MAIN PROPERTIES
3 SOME PROPERTIES OF THE FILTRATION H
4 THE SHEAF OF LIE ALGEBRAS G
5 PERIOD MAPS AND TORELLI PROBLEMS
6 SL2-STRUCTURES ON F
7 SL2-STRUCTURES ON G
8 INVOLUTION ON G
9 STRATIFICATION OF T
10 CONFIGURATIONS AND THEIRS EQUATIONS
11 REPRESENTATION THEORETIC CONSTRUCTIONS
12 J(X; L; D) AND THE LANGLANDS DUALITY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
NONABELIAN JACOBIAN OF PROJECTIVE SURFACES
/ REIDER, IGOR
: 2013
ABSTRACT / INHALTSTEXT
THE JACOBIAN OF A SMOOTH PROJECTIVE CURVE IS UNDOUBTEDLY ONE OF THE MOST
REMARKABLE AND BEAUTIFUL OBJECTS IN ALGEBRAIC GEOMETRY. THIS WORK IS AN
ATTEMPT TO DEVELOP AN ANALOGOUS THEORY FOR SMOOTH PROJECTIVE SURFACES -
A THEORY OF THE NONABELIAN JACOBIAN OF SMOOTH PROJECTIVE SURFACES. JUST
LIKE ITS CLASSICAL COUNTERPART, OUR NONABELIAN JACOBIAN RELATES TO
VECTOR BUNDLES (OF RANK 2) ON A SURFACE AS WELL AS ITS HILBERT SCHEME OF
POINTS. BUT IT ALSO COMES EQUIPPED WITH THE VARIATION OF HODGE-LIKE
STRUCTURES, WHICH PRODUCES A SHEAF OF REDUCTIVE LIE ALGEBRAS NATURALLY
ATTACHED TO OUR JACOBIAN. THIS CONSTITUTES A NONABELIAN ANALOGUE OF THE
(ABELIAN) LIE ALGEBRA STRUCTURE OF THE CLASSICAL JACOBIAN. THIS FEATURE
NATURALLY RELATES GEOMETRY OF SURFACES WITH THE REPRESENTATION THEORY OF
REDUCTIVE LIE ALGEBRAS/GROUPS. THIS WORK’S MAIN FOCUS IS ON PROVIDING
AN IN-DEPTH STUDY OF VARIOUS ASPECTS OF THIS RELATION. IT PRESENTS A
SUBSTANTIAL BODY OF EVIDENCE THAT THE SHEAF OF LIE ALGEBRAS ON THE
NONABELIAN JACOBIAN IS AN EFFICIENT TOOL FOR USING THE REPRESENTATION
THEORY TO SYSTEMATICALLY ADDRESS VARIOUS ALGEBRO-GEOMETRIC PROBLEMS. IT
ALSO SHOWS HOW TO CONSTRUCT NEW INVARIANTSOF REPRESENTATION THEORETIC
ORIGIN ON SMOOTH PROJECTIVE SURFACES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Reider, Igor |
| author_facet | Reider, Igor |
| author_role | aut |
| author_sort | Reider, Igor |
| author_variant | i r ir |
| building | Verbundindex |
| bvnumber | BV041073892 |
| classification_rvk | SI 850 |
| classification_tum | MAT 146f MAT 142f MAT 000 |
| collection | ZDB-2-LNM ZDB-2-SMA |
| ctrlnum | (OCoLC)840035154 (DE-599)BVBBV041073892 |
| dewey-full | 516.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.352 |
| dewey-search | 516.352 |
| dewey-sort | 3516.352 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-35662-9 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:38:58Z |
| institution | BVB |
| isbn | 3642356613 9783642356629 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026050801 |
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| publishDate | 2013 |
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| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Reider, Igor Verfasser aut Nonabelian Jacobian of projective surfaces geometry and representation theory Igor Reider Berlin [u.a.] Springer 2013 1 Online-Ressource (VIII, 214 S.) graph. Darst. txt rdacontent c rdamedia cr rdacarrier Lecture notes in mathematics 2072 Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Jacobi-Mannigfaltigkeit (DE-588)4289324-0 gnd rswk-swf Glatte projektive Ebene (DE-588)4704529-2 gnd rswk-swf Jacobi-Mannigfaltigkeit (DE-588)4289324-0 s Glatte projektive Ebene (DE-588)4704529-2 s Algebraische Geometrie (DE-588)4001161-6 s DE-604 Erscheint auch als Druck-Ausgabe, Paperback 978-3-642-35661-2 Lecture notes in mathematics 2072 (DE-604)BV014303148 2072 https://doi.org/10.1007/978-3-642-35662-9 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026050801&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026050801&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Reider, Igor Nonabelian Jacobian of projective surfaces geometry and representation theory Lecture notes in mathematics Algebraische Geometrie (DE-588)4001161-6 gnd Jacobi-Mannigfaltigkeit (DE-588)4289324-0 gnd Glatte projektive Ebene (DE-588)4704529-2 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4289324-0 (DE-588)4704529-2 |
| title | Nonabelian Jacobian of projective surfaces geometry and representation theory |
| title_auth | Nonabelian Jacobian of projective surfaces geometry and representation theory |
| title_exact_search | Nonabelian Jacobian of projective surfaces geometry and representation theory |
| title_full | Nonabelian Jacobian of projective surfaces geometry and representation theory Igor Reider |
| title_fullStr | Nonabelian Jacobian of projective surfaces geometry and representation theory Igor Reider |
| title_full_unstemmed | Nonabelian Jacobian of projective surfaces geometry and representation theory Igor Reider |
| title_short | Nonabelian Jacobian of projective surfaces |
| title_sort | nonabelian jacobian of projective surfaces geometry and representation theory |
| title_sub | geometry and representation theory |
| topic | Algebraische Geometrie (DE-588)4001161-6 gnd Jacobi-Mannigfaltigkeit (DE-588)4289324-0 gnd Glatte projektive Ebene (DE-588)4704529-2 gnd |
| topic_facet | Algebraische Geometrie Jacobi-Mannigfaltigkeit Glatte projektive Ebene |
| url | https://doi.org/10.1007/978-3-642-35662-9 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026050801&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026050801&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV014303148 |
| work_keys_str_mv | AT reiderigor nonabelianjacobianofprojectivesurfacesgeometryandrepresentationtheory |