The Lefschetz properties:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2013
|
| Schriftenreihe: | Lecture notes in mathematics
2080 |
| Schlagworte: | |
| Online-Zugang: | Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XIX, 250 S.) graph. Darst. 235 mm x 155 mm |
| ISBN: | 3642382053 9783642382062 |
| DOI: | 10.1007/978-3-642-38206-2 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804151346728796160 |
|---|---|
| adam_text | THE LEFSCHETZ PROPERTIES
/ HARIMA, TADAHITO
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION AND HISTORICAL NOTE
1. POSET THEORY
2. BASICS ON THE THEORY OF LOCAL RINGS
3. LEFSCHETZ PROPERTIES
4. COMPETE INTERSECTIONS WITH THE SLP
5.A GENERALIZATION OF LEFSCHETZ ELEMENTS
6.K-LEFSCHETZ PROPERTIES
7.COHOMOLOGY RINGS
8. INVARIANT THEORY AND LEFSCHETZ PROPERTY
9.THE STRONG LEFSCHETZ PROPERTY AND THE SCHUR–WEYL DUALITY.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE LEFSCHETZ PROPERTIES
/ HARIMA, TADAHITO
: 2013
ABSTRACT / INHALTSTEXT
THIS IS A MONOGRAPH WHICH COLLECTS BASIC TECHNIQUES, MAJOR RESULTS AND
INTERESTING APPLICATIONS OF LEFSCHETZ PROPERTIES OF ARTINIAN ALGEBRAS.
THE ORIGIN OF THE LEFSCHETZ PROPERTIES OF ARTINIAN ALGEBRAS IS THE HARD
LEFSCHETZ THEOREM, WHICH IS A MAJOR RESULT IN ALGEBRAIC GEOMETRY.
HOWEVER, FOR THE LAST TWO DECADES, NUMEROUS APPLICATIONS OF THE
LEFSCHETZ PROPERTIES TO OTHER AREAS OF MATHEMATICS HAVE BEEN FOUND, AS A
RESULT OF WHICH THE THEORY OF THE LEFSCHETZ PROPERTIES IS NOW OF GREAT
INTEREST IN ITS OWN RIGHT. IT ALSO HAS TIES TO OTHER AREAS, INCLUDING
COMBINATORICS, ALGEBRAIC GEOMETRY, ALGEBRAIC TOPOLOGY, COMMUTATIVE
ALGEBRA AND REPRESENTATION THEORY. THE CONNECTIONS BETWEEN THE LEFSCHETZ
PROPERTY AND OTHER AREAS OF MATHEMATICS ARE NOT ONLY DIVERSE, BUT
SOMETIMES QUITE SURPRISING, E.G. ITS TIES TO THE SCHUR-WEYL DUALITY.
THIS IS THE FIRST BOOK SOLELY DEVOTED TO THE LEFSCHETZ PROPERTIES AND IS
THE FIRST ATTEMPT TO TREAT THOSE PROPERTIES SYSTEMATICALLY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-38206-2 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:53:22Z |
| institution | BVB |
| isbn | 3642382053 9783642382062 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026734256 |
| oclc_num | 859539484 |
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| physical | 1 Online-Ressource (XIX, 250 S.) graph. Darst. 235 mm x 155 mm |
| psigel | ZDB-2-LNM ZDB-2-SMA |
| publishDate | 2013 |
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| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | The Lefschetz properties Tadahito Harima ... Berlin [u.a.] Springer 2013 1 Online-Ressource (XIX, 250 S.) graph. Darst. 235 mm x 155 mm txt rdacontent c rdamedia cr rdacarrier Lecture notes in mathematics 2080 Lefschetz-Fixpunktsatz (DE-588)4501113-8 gnd rswk-swf Artinsche Algebra (DE-588)4143137-6 gnd rswk-swf Artinsche Algebra (DE-588)4143137-6 s Lefschetz-Fixpunktsatz (DE-588)4501113-8 s 1\p DE-604 Harima, Tadahito Sonstige oth Erscheint auch als Druck-Ausgabe, Paperback 978-3-642-38205-5 Lecture notes in mathematics 2080 (DE-604)BV014303148 2080 https://doi.org/10.1007/978-3-642-38206-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026734256&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=026734256&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | The Lefschetz properties Lecture notes in mathematics Lefschetz-Fixpunktsatz (DE-588)4501113-8 gnd Artinsche Algebra (DE-588)4143137-6 gnd |
| subject_GND | (DE-588)4501113-8 (DE-588)4143137-6 |
| title | The Lefschetz properties |
| title_auth | The Lefschetz properties |
| title_exact_search | The Lefschetz properties |
| title_full | The Lefschetz properties Tadahito Harima ... |
| title_fullStr | The Lefschetz properties Tadahito Harima ... |
| title_full_unstemmed | The Lefschetz properties Tadahito Harima ... |
| title_short | The Lefschetz properties |
| title_sort | the lefschetz properties |
| topic | Lefschetz-Fixpunktsatz (DE-588)4501113-8 gnd Artinsche Algebra (DE-588)4143137-6 gnd |
| topic_facet | Lefschetz-Fixpunktsatz Artinsche Algebra |
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