Cancellation for surfaces revisited:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence ; RI
American Mathematical Society
[2022]
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
volume 278, number 1371 (sixth of 6 numbers) |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references (Seite 109-111) |
| Beschreibung: | v, 111 Seiten |
| ISBN: | 9781470453732 |
Internformat
MARC
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| 100 | 1 | |a Flenner, Hubert |d 1951- |0 (DE-588)10852552X |4 aut | |
| 245 | 1 | 0 | |a Cancellation for surfaces revisited |c H. Flenner, S. Kaliman, M. Zaidenberg |
| 264 | 1 | |a Providence ; RI |b American Mathematical Society |c [2022] | |
| 264 | 4 | |c © 2022 | |
| 300 | |a v, 111 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 278, number 1371 (sixth of 6 numbers) | |
| 500 | |a Includes bibliographical references (Seite 109-111) | ||
| 700 | 1 | |a Kaliman, Shulim |4 aut | |
| 700 | 1 | |a Zaidenberg, Mikhail |0 (DE-588)1160645655 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4704-7171-2 |
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Datensatz im Suchindex
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| adam_text | Contents
Introduction
Chapter 1 Generalities
1 1 Cancellation and the Makar-Limanov invariant
1 2 Non-cancellation and Gizatullin surfaces
1 3 The Danielewski-Fieseler construction
1 4 Affine modifications
Chapter 2 A!-fibered surfaces via affine modifications
2 1 Covering trick and GDF surfaces
2 2 Pseudominimal completion and extended divisor
2 3 Blowup construction
2 4 GDF surfaces via affine modifications
Chapter 3 Vector fields and natural coordinates
3 1 Locally nilpotent vertical vector fields
3 2 Standard affine charts
3 3 Natural coordinates
3 4 Special jg-quasi-invariants
3 5 Examples of GDF surfaces of Danielewski type
Chapter 4 Relative flexibility
4 1 Definitions and the main theorem
4 2 Transitive group actions on Veronese cones
4 3 Relatively transitive group actions on cylinders
44A relative Abhyankar-Moh-Suzuki Theorem
Chapter 5 Rigidity of cylinders upon deformation of surfaces
5 1 Equivariant Asanuma modification
5 2 Rigidity of cylinders under deformations of GDF surfaces
5 3 Rigidity of cylinders under deformations of A!-fibered surfaces
5 4 Rigidity of line bundles over affine surfaces
Chapter 6 Basic examples of Zariski factors
6 1 Line bundles over affine curves
6 2 Parabolic G,,-surfaces: an overview
6 3 Parabolic G,,-surfaces as Zariski factors
Chapter 7 Zariski 1-factors
7 1 Stretching and rigidity of cylinders
7 2 Non-cancellation for GDF surfaces
ii
m
“EO oT OT
öl
7 3
CONTENTS
Extended graphs of Gizatullin surfaces
Zariski 1-factors and affine A!-fibered surfaces
Chapter 8 Classical examples
Chapter 9 GDF surfaces with isomorphic cylinders
Preliminaries
Classification of GDF cylinders up to B-isomorphism
GDF surfaces whose fiber trees are bushes
Spring bushes versus bushes
Cylinders over Danielewski-Fieseler surfaces
Proof of the main theorem
Chapter 10 On moduli spaces of GDF surfaces
10 1 Coarse moduli spaces of GDF surfaces
10 2 The automorphism group of a GDF surface
10 3 Configuration spaces and configuration invariants
10 4 Versal deformation families of trivializing sequences
10 5 Proof of Theorem 10 1 3
Acknowledgments
Bibliography
|
| adam_txt |
Contents
Introduction
Chapter 1 Generalities
1 1 Cancellation and the Makar-Limanov invariant
1 2 Non-cancellation and Gizatullin surfaces
1 3 The Danielewski-Fieseler construction
1 4 Affine modifications
Chapter 2 A!-fibered surfaces via affine modifications
2 1 Covering trick and GDF surfaces
2 2 Pseudominimal completion and extended divisor
2 3 Blowup construction
2 4 GDF surfaces via affine modifications
Chapter 3 Vector fields and natural coordinates
3 1 Locally nilpotent vertical vector fields
3 2 Standard affine charts
3 3 Natural coordinates
3 4 Special jg-quasi-invariants
3 5 Examples of GDF surfaces of Danielewski type
Chapter 4 Relative flexibility
4 1 Definitions and the main theorem
4 2 Transitive group actions on Veronese cones
4 3 Relatively transitive group actions on cylinders
44A relative Abhyankar-Moh-Suzuki Theorem
Chapter 5 Rigidity of cylinders upon deformation of surfaces
5 1 Equivariant Asanuma modification
5 2 Rigidity of cylinders under deformations of GDF surfaces
5 3 Rigidity of cylinders under deformations of A!-fibered surfaces
5 4 Rigidity of line bundles over affine surfaces
Chapter 6 Basic examples of Zariski factors
6 1 Line bundles over affine curves
6 2 Parabolic G,,-surfaces: an overview
6 3 Parabolic G,,-surfaces as Zariski factors
Chapter 7 Zariski 1-factors
7 1 Stretching and rigidity of cylinders
7 2 Non-cancellation for GDF surfaces
ii
m
“EO oT OT
öl
7 3
CONTENTS
Extended graphs of Gizatullin surfaces
Zariski 1-factors and affine A!-fibered surfaces
Chapter 8 Classical examples
Chapter 9 GDF surfaces with isomorphic cylinders
Preliminaries
Classification of GDF cylinders up to B-isomorphism
GDF surfaces whose fiber trees are bushes
Spring bushes versus bushes
Cylinders over Danielewski-Fieseler surfaces
Proof of the main theorem
Chapter 10 On moduli spaces of GDF surfaces
10 1 Coarse moduli spaces of GDF surfaces
10 2 The automorphism group of a GDF surface
10 3 Configuration spaces and configuration invariants
10 4 Versal deformation families of trivializing sequences
10 5 Proof of Theorem 10 1 3
Acknowledgments
Bibliography |
| any_adam_object | 1 |
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| author | Flenner, Hubert 1951- Kaliman, Shulim Zaidenberg, Mikhail |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T20:32:08Z |
| indexdate | 2024-07-10T09:38:34Z |
| institution | BVB |
| isbn | 9781470453732 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033833002 |
| oclc_num | 1341588766 |
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| owner_facet | DE-83 DE-29T DE-355 DE-BY-UBR DE-11 |
| physical | v, 111 Seiten |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Flenner, Hubert 1951- (DE-588)10852552X aut Cancellation for surfaces revisited H. Flenner, S. Kaliman, M. Zaidenberg Providence ; RI American Mathematical Society [2022] © 2022 v, 111 Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 278, number 1371 (sixth of 6 numbers) Includes bibliographical references (Seite 109-111) Kaliman, Shulim aut Zaidenberg, Mikhail (DE-588)1160645655 aut Erscheint auch als Online-Ausgabe 978-1-4704-7171-2 Memoirs of the American Mathematical Society volume 278, number 1371 (sixth of 6 numbers) (DE-604)BV008000141 1371 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033833002&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Flenner, Hubert 1951- Kaliman, Shulim Zaidenberg, Mikhail Cancellation for surfaces revisited Memoirs of the American Mathematical Society |
| title | Cancellation for surfaces revisited |
| title_auth | Cancellation for surfaces revisited |
| title_exact_search | Cancellation for surfaces revisited |
| title_exact_search_txtP | Cancellation for surfaces revisited |
| title_full | Cancellation for surfaces revisited H. Flenner, S. Kaliman, M. Zaidenberg |
| title_fullStr | Cancellation for surfaces revisited H. Flenner, S. Kaliman, M. Zaidenberg |
| title_full_unstemmed | Cancellation for surfaces revisited H. Flenner, S. Kaliman, M. Zaidenberg |
| title_short | Cancellation for surfaces revisited |
| title_sort | cancellation for surfaces revisited |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033833002&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT flennerhubert cancellationforsurfacesrevisited AT kalimanshulim cancellationforsurfacesrevisited AT zaidenbergmikhail cancellationforsurfacesrevisited |