Cancellation for Surfaces Revisited

The celebrated Zariski Cancellation Problem asks as to when the existence of an isomorphism If the cancellation does not hold then

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Flenner, H., Kaliman, S., Zaidenberg, M.
Format: E-Book Buch
Sprache:Englisch
Veröffentlicht: Providence, Rhode Island American Mathematical Society 2022
Ausgabe:1
Schriftenreihe:Memoirs of the American Mathematical Society
Schlagworte:
Algebraic geometry > Affine geometry > Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem). msc
Algebraic geometry > Families, fibrations > Fine and coarse moduli spaces. msc
Cancellation theory (Group theory)
Moduli theory
Surfaces, Algebraic
Cancellation
affine surface
group action
transitivity
one-parameter subgroup
ISBN:1470453738, 9781470453732
ISSN:0065-9266, 1947-6221
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Abstract The celebrated Zariski Cancellation Problem asks as to when the existence of an isomorphism If the cancellation does not hold then
AbstractList The celebrated Zariski Cancellation Problem asks as to when the existence of an isomorphism If the cancellation does not hold then
View the abstract.
Author Kaliman, S.
Flenner, H.
Zaidenberg, M.
Author_xml – sequence: 1
  givenname: H.
  surname: Flenner
  fullname: Flenner, H.
– sequence: 2
  givenname: S.
  surname: Kaliman
  fullname: Kaliman, S.
– sequence: 3
  givenname: M.
  surname: Zaidenberg
  fullname: Zaidenberg, M.
BackLink https://cir.nii.ac.jp/crid/1130011760232798997$$DView record in CiNii
BookMark eNpV0V1LwzAUBuCom7jNXfgPBvNCL-rOSdJ8XGqZHzAQVLwNaZpitWu16ebft912I4Tk4jzkhfOOyaCqK0_IBcINgobF2q_rBTKJR2SqpUIugUuUSI_JCDWXkaAUT8h4N4iZZGpARgAijjQVYkjGFGh3pObstFOMCR1zrvQZmYbwCQBUKE2ZHJF5Yivny9K2RV3N8rqZvW6a3DofZi9-W4Si9dk5Gea2DH56eCfk_X75ljxGq-eHp-R2FVnUsYQuO1XKchZnmUvRc4rKOWDcZUpkQijJMumplzzWNKfK6TR1mCuInVYu45ZNyPX-Yxu-_G_4qMs2mG3p07r-CubfIjp7tbffTf2z8aE1O-Z81Ta2NMu7hGomldZxRy_3tCoK44r-RmQAiFIAZd2aOiY7Nj-kr4M5ZCKYvhDTF2L6QtgfjvJv5w
ContentType eBook
Book
Copyright Copyright 2022 American Mathematical Society
Copyright_xml – notice: Copyright 2022 American Mathematical Society
DBID RYH
DEWEY 516.3/52
DOI 10.1090/memo/1371
DatabaseName CiNii Complete
DatabaseTitleList

DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EISBN 9781470471712
147047171X
EISSN 1947-6221
Edition 1
ExternalDocumentID 9781470471712
EBC29378995
BC16330308
10_1090_memo_1371
GroupedDBID --Z
-~X
123
4.4
85S
ABPPZ
ACNCT
ACNUO
AEGFZ
AENEX
ALMA_UNASSIGNED_HOLDINGS
DU5
P2P
RMA
WH7
YNT
YQT
38.
AABBV
ABARN
ABQPQ
ADAIA
ADVEM
AERYV
AFOJC
AHWGJ
AJFER
BBABE
CZZ
GEOUK
RYH
ID FETCH-LOGICAL-a19570-92b88a435ddcb1e4218cc034cd86d66873d7e2e74592f28c9bbc1f805c98cd4a3
ISBN 1470453738
9781470453732
ISICitedReferencesCount 1
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=0000060196&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0065-9266
IngestDate Fri Nov 08 03:08:01 EST 2024
Wed Dec 10 10:54:28 EST 2025
Thu Jun 26 22:22:55 EDT 2025
Thu Aug 14 15:25:29 EDT 2025
IsPeerReviewed true
IsScholarly true
Keywords Cancellation
affine surface
group action
transitivity
one-parameter subgroup
LCCN 2022027943
LCCallNum_Ident QA573
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-a19570-92b88a435ddcb1e4218cc034cd86d66873d7e2e74592f28c9bbc1f805c98cd4a3
Notes July 2022, volume 278, number 1371 (sixth of 6 numbers)
Includes bibliographical references (p. 109-111)
OCLC 1336954489
PQID EBC29378995
PageCount 124
ParticipantIDs askewsholts_vlebooks_9781470471712
proquest_ebookcentral_EBC29378995
nii_cinii_1130011760232798997
ams_ebooks_10_1090_memo_1371
PublicationCentury 2000
PublicationDate 2022.
PublicationDateYYYYMMDD 2022-01-01
PublicationDate_xml – year: 2022
  text: 2022.
PublicationDecade 2020
PublicationPlace Providence, Rhode Island
PublicationPlace_xml – name: Providence, Rhode Island
– name: Providence, RI
– name: Providence
PublicationSeriesTitle Memoirs of the American Mathematical Society
PublicationYear 2022
Publisher American Mathematical Society
Publisher_xml – name: American Mathematical Society
SSID ssj0002689237
ssib050929720
ssj0008047
Score 2.6240382
Snippet The celebrated Zariski Cancellation Problem asks as to when the existence of an isomorphism If the cancellation does not hold then
View the abstract.
SourceID askewsholts
proquest
nii
ams
SourceType Aggregation Database
Publisher
SubjectTerms Algebraic geometry -- Affine geometry -- Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem). msc
Algebraic geometry -- Families, fibrations -- Fine and coarse moduli spaces. msc
Cancellation theory (Group theory)
Moduli theory
Surfaces, Algebraic
TableOfContents Introduction -- Generalities -- <inline-formula content-type="math/mathml"> A 1 \mathbb {A}^1 </inline-formula>-fibered surfaces via affine modifications -- Vector fields and natural coordinates -- Relative flexibility -- Rigidity of cylinders upon deformation of surfaces -- Basic examples of Zariski factors -- Zariski 1-factors -- Classical examples -- GDF surfaces with isomorphic cylinders -- On moduli spaces of GDF surfaces
Cover -- Title page -- 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. ¹-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 _{ }-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 -- 4.4. A 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 ¹-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 _{ }-surfaces: an overview -- 6.3. Parabolic _{ }-surfaces as Zariski factors -- Chapter 7. Zariski 1-factors -- 7.1. Stretching and rigidity of cylinders -- 7.2. Non-cancellation for GDF surfaces -- 7.3. Extended graphs of Gizatullin surfaces -- 7.4. Zariski 1-factors and affine ¹-fibered surfaces -- Chapter 8. Classical examples -- Chapter 9. GDF surfaces with isomorphic cylinders -- 9.1. Preliminaries -- 9.2. Classification of GDF cylinders up to -isomorphism -- 9.3. GDF surfaces whose fiber trees are bushes
9.4. Spring bushes versus bushes -- 9.5. Cylinders over Danielewski-Fieseler surfaces -- 9.6. 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 -- Back Cover
Title Cancellation for Surfaces Revisited
URI https://www.ams.org/memo/1371/
https://cir.nii.ac.jp/crid/1130011760232798997
https://ebookcentral.proquest.com/lib/[SITE_ID]/detail.action?docID=29378995
https://www.vlebooks.com/vleweb/product/openreader?id=none&isbn=9781470471712
Volume 278
WOSCitedRecordID wos0000060196&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb9swDCaWbIfltCeWPobscXVrSbYlXRtkC1C026EbejNsScaMtk4RJ0V_finZkov0MOywi2AbjgmRQvSRIj8CfE0Tg0uFx1HJZBbhDq2iwpRVJHWmDNGa0Uq7ZhP8_FxcXsqffb1269oJ8KYR9_fy9r-aGp-hsW3p7D-YO3wUH-A1Gh1HNDuOO4g43AaiARuGH7IH2-26chlXa1dC7uuYOmv5llvLIwsyl9vSFe8MqdeIz31w9ChEly2fZMgIO6uv_vgMjT5uQOlO3GA4EAr0sJZ-ZBX4R4KTSRKOuI_xLg755C83ljZH8cbcrGwQgHUNVXY4rE_mCPuYpcYZwYhn6CQ__7748es0RMNoJhBpcld510sTnpDLS_e8UDI-ttKOrSzHj9tOYFK0V7gp4IaxwbtRU9dP9lYHGC5ewdgWkbyGZ6Z5A5Nh8u1b-PLYTjO008zbaRbs9A5-f1tczJdR36oiKohMcalLWgpRIPbUWpXEJIiclIpZorTIdJYJzjQ31PAklbSiQsmyVKQScaqkbR9VsPcwblaN-QCzJDEVOoVJZanuFBMl_gjnWrCCZoWh6RQOcM65O0xv8y6JIM6tSnKrkil8fqSM_O66f9HrEv13QqdwiDrKVW1HYo80CeEZ4jfKJXrgfAqfvPY6QX2qcL44mSNA5PhOuveXb-zDy2HdHcB4s96aQ3ih7jZ1u_7Yr4AHUrs-Ug
linkProvider ProQuest Ebooks
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.title=Cancellation+for+surfaces+revisited&rft.au=Flenner%2C+H.+%28Hubert%29&rft.au=Kaliman%2C+S.&rft.au=Zaidenberg%2C+Mikhail&rft.date=2022-01-01&rft.pub=American+Mathematical+Society&rft.isbn=9781470453732&rft_id=info:doi/10.1090%2Fmemo%2F1371&rft.externalDocID=BC16330308
thumbnail_m http://cvtisr.summon.serialssolutions.com/2.0.0/image/custom?url=https%3A%2F%2Fvle.dmmserver.com%2Fmedia%2F640%2F97814704%2F9781470471712.jpg