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Vector bundles and regulous maps
Journal
Mathematische Zeitschrift
Author
Bilski Marcin
Kucharz Wojciech
Valette Anna
Valette Guillaume
Volume
275
Number
1-2
Pages
403-418
ISSN
0025-5874
eISSN
1432-1823
Keywords in English
Real algebraic variety
Pre-algebraic vector bundle
Algebraic vector bundle
Algebraic vector bundle
Algebraic vector bundle
Language
English
Journal language
German
Abstract in English
Let X be a compact nonsingular affine real algebraic variety. We prove that every pre-algebraic vector bundle on X becomes algebraic after finitely many blowing ups. Using this theorem, we then prove that the Stiefel-Whitney classes of any pre-algebraic R -vector bundle on X are algebraic. We also derive that the Chern classes of any pre-algebraic C -vector bundles and the Pontryagin classes of any pre-algebraic R -vector bundle are blow- C -algebraic. We also provide several results on line bundles on X .
Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
Scopus© citations
15
| cris.lastimport.wos | 2024-04-10T01:37:18Z | |
| dc.abstract.en | Let X be a compact nonsingular affine real algebraic variety. We prove that every pre-algebraic vector bundle on X becomes algebraic after finitely many blowing ups. Using this theorem, we then prove that the Stiefel-Whitney classes of any pre-algebraic R -vector bundle on X are algebraic. We also derive that the Chern classes of any pre-algebraic C -vector bundles and the Pontryagin classes of any pre-algebraic R -vector bundle are blow- C -algebraic. We also provide several results on line bundles on X . | pl |
| dc.affiliation | Wydział Matematyki i Informatyki : Instytut Matematyki | pl |
| dc.contributor.author | Bilski, Marcin - 127343 | pl |
| dc.contributor.author | Kucharz, Wojciech - 200567 | pl |
| dc.contributor.author | Valette, Anna - 132495 | pl |
| dc.contributor.author | Valette, Guillaume - 242684 | pl |
| dc.date.accessioned | 2014-07-15T05:36:10Z | |
| dc.date.available | 2014-07-15T05:36:10Z | |
| dc.date.issued | 2013 | pl |
| dc.date.openaccess | 0 | |
| dc.description.accesstime | w momencie opublikowania | |
| dc.description.number | 1-2 | pl |
| dc.description.physical | 403-418 | pl |
| dc.description.version | ostateczna wersja wydawcy | |
| dc.description.volume | 275 | pl |
| dc.identifier.doi | 10.1007/s00209-012-1141-6 | pl |
| dc.identifier.eissn | 1432-1823 | pl |
| dc.identifier.issn | 0025-5874 | pl |
| dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/37 | |
| dc.language | eng | pl |
| dc.language.container | ger | pl |
| dc.rights | Udzielam licencji. Uznanie autorstwa 3.0 Polska | * |
| dc.rights.licence | CC-BY | |
| dc.rights.uri | http://creativecommons.org/licenses/by/3.0/pl/legalcode | * |
| dc.share.type | inne | |
| dc.subject.en | Real algebraic variety | pl |
| dc.subject.en | Pre-algebraic vector bundle | pl |
| dc.subject.en | Algebraic vector bundle | pl |
| dc.subject.en | Algebraic vector bundle | pl |
| dc.subject.en | Algebraic vector bundle | pl |
| dc.subtype | Article | pl |
| dc.title | Vector bundles and regulous maps | pl |
| dc.title.journal | Mathematische Zeitschrift | pl |
| dc.type | JournalArticle | pl |
| dspace.entity.type | Publication |
cris.lastimport.wos
2024-04-10T01:37:18Z dc.abstract.enpl
Let X be a compact nonsingular affine real algebraic variety. We prove that every pre-algebraic vector bundle on X becomes algebraic after finitely many blowing ups. Using this theorem, we then prove that the Stiefel-Whitney classes of any pre-algebraic R -vector bundle on X are algebraic. We also derive that the Chern classes of any pre-algebraic C -vector bundles and the Pontryagin classes of any pre-algebraic R -vector bundle are blow- C -algebraic. We also provide several results on line bundles on X . dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Matematyki dc.contributor.authorpl
Bilski, Marcin - 127343 dc.contributor.authorpl
Kucharz, Wojciech - 200567 dc.contributor.authorpl
Valette, Anna - 132495 dc.contributor.authorpl
Valette, Guillaume - 242684 dc.date.accessioned
2014-07-15T05:36:10Z dc.date.available
2014-07-15T05:36:10Z dc.date.issuedpl
2013 dc.date.openaccess
0 dc.description.accesstime
w momencie opublikowania dc.description.numberpl
1-2 dc.description.physicalpl
403-418 dc.description.version
ostateczna wersja wydawcy dc.description.volumepl
275 dc.identifier.doipl
10.1007/s00209-012-1141-6 dc.identifier.eissnpl
1432-1823 dc.identifier.issnpl
0025-5874 dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/37 dc.languagepl
eng dc.language.containerpl
ger dc.rights*
Udzielam licencji. Uznanie autorstwa 3.0 Polska dc.rights.licence
CC-BY dc.rights.uri*
http://creativecommons.org/licenses/by/3.0/pl/legalcode dc.share.type
inne dc.subject.enpl
Real algebraic variety dc.subject.enpl
Pre-algebraic vector bundle dc.subject.enpl
Algebraic vector bundle dc.subject.enpl
Algebraic vector bundle dc.subject.enpl
Algebraic vector bundle dc.subtypepl
Article dc.titlepl
Vector bundles and regulous maps dc.title.journalpl
Mathematische Zeitschrift dc.typepl
JournalArticle dspace.entity.type
Publication Affiliations
Wydział Matematyki i Informatyki
Bilski, Marcin
Kucharz, Wojciech
Valette, Anna
No affiliation
Valette, Guillaume
