Kähler differential algebras for 0-dimensional schemes and applications:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Passau
2015
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| Schlagworte: | |
| Online-Zugang: | Volltext Volltext Inhaltsverzeichnis |
| Beschreibung: | iv, 150 Seiten |
Internformat
MARC
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| 100 | 1 | |a Nguyen Khanh Linh, Tran |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Kähler differential algebras for 0-dimensional schemes and applications |c Tran Nguyen Khanh Linh |
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| 300 | |a iv, 150 Seiten | ||
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| 502 | |b Dissertation |c Universität Passau |d 2015 | ||
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| 912 | |a ebook | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-028446983 | ||
Datensatz im Suchindex
| _version_ | 1804175373103005696 |
|---|---|
| adam_text | Contents
1 Introduction 1
1.1 Motivation and Overview.................................................. 1
1.2 Acknowledgements......................................................... 8
2 Preliminaries 11
2.1 Resolutions of Graded Modules........................................... 11
2.2 Introduction to Homogeneous Grobner Bases............................... 17
2.3 Exterior Algebras....................................................... 22
2.4 Some Properties of 0-Dimensional Schemes................................ 27
3 Kahler Differential Algebras 33
3.1 Modules of Kahler Differential 1-Forms of Algebras...................... 34
3.2 Kahler Differential Algebras............................................ 41
3.3 Kahler Differential Algebras for 0-Dimensional Schemes........ 50
3.4 Kahler Differential Algebras for Finite Sets of A -Rational Points .... 57
4 Kahler Differential Algebras for Fat Point Schemes 69
4.1 Fat Point Schemes ...................................................... 71
4.2 Modules of Kahler Differential 1-Forms for Fat Point Schemes................... 80
4.3 Modules of Kahler Differential m-Forms for Fat Point Schemes................... 87
4.4 Kahler Differential 1-Forms for Fat Point Schemes Supported at Com-
plete Intersections........................................................ 96
5 Some Special Cases and Applications
107
IV
CONTENTS
5.1 Kahler Differential Algebras for Fat Point Schemes on a Non-Singular
Conic in P2 .........................................................108
5.2 Scgrffs Bound for Fat Point Schemes in P4............................117
Appendix 131
Bibliography
147
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| author | Nguyen Khanh Linh, Tran |
| author_facet | Nguyen Khanh Linh, Tran |
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| author_sort | Nguyen Khanh Linh, Tran |
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| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| spelling | Nguyen Khanh Linh, Tran Verfasser aut Kähler differential algebras for 0-dimensional schemes and applications Tran Nguyen Khanh Linh Passau 2015 iv, 150 Seiten txt rdacontent n rdamedia nc rdacarrier Dissertation Universität Passau 2015 Kähler-Differentialform (DE-588)4125301-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Kähler-Differentialform (DE-588)4125301-2 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:739-opus4-3290 https://opus4.kobv.de/opus4-uni-passau/frontdoor/index/index/docId/329 Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:739-opus4-3290 Resolving-System Volltext Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028446983&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nguyen Khanh Linh, Tran Kähler differential algebras for 0-dimensional schemes and applications Kähler-Differentialform (DE-588)4125301-2 gnd |
| subject_GND | (DE-588)4125301-2 (DE-588)4113937-9 |
| title | Kähler differential algebras for 0-dimensional schemes and applications |
| title_auth | Kähler differential algebras for 0-dimensional schemes and applications |
| title_exact_search | Kähler differential algebras for 0-dimensional schemes and applications |
| title_full | Kähler differential algebras for 0-dimensional schemes and applications Tran Nguyen Khanh Linh |
| title_fullStr | Kähler differential algebras for 0-dimensional schemes and applications Tran Nguyen Khanh Linh |
| title_full_unstemmed | Kähler differential algebras for 0-dimensional schemes and applications Tran Nguyen Khanh Linh |
| title_short | Kähler differential algebras for 0-dimensional schemes and applications |
| title_sort | kahler differential algebras for 0 dimensional schemes and applications |
| topic | Kähler-Differentialform (DE-588)4125301-2 gnd |
| topic_facet | Kähler-Differentialform Hochschulschrift |
| url | https://opus4.kobv.de/opus4-uni-passau/frontdoor/index/index/docId/329 https://nbn-resolving.org/urn:nbn:de:bvb:739-opus4-3290 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028446983&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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