Simple view
Full metadata view
Authors
Statistics
Vector bundles and regulous maps
Journal
Mathematische Zeitschrift
35
Author
Bilski Marcin
Kucharz Wojciech
Valette Anna
Valette Guillaume
Volume
275
Issue
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
Container 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
WoS citations
13
cris.lastimport.scopus | 2024-04-07T16:11:49Z | |
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 |
Affiliations
Wydział Matematyki i Informatyki
Bilski, Marcin
Kucharz, Wojciech
Valette, Anna
No affiliation
Valette, Guillaume