Vector bundles on projective varieties and representations of quivers
We present equivalences between certain categories of vector bundles on projective varieties, namely cokernel bundles, Steiner bundles, syzygy bundles, and monads, and full subcategories of representations of certain quivers. As an application, we provide decomposability criteria for such bundles.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2015 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2015
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155146 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Vector bundles on projective varieties and representations of quivers / M. Jardim, D.M. Prata // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 217-249. — Бібліогр.: 10 назв. — англ. |
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Jardim, M. Prata, D.M. 2019-06-16T09:50:47Z 2019-06-16T09:50:47Z 2015 Vector bundles on projective varieties and representations of quivers / M. Jardim, D.M. Prata // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 217-249. — Бібліогр.: 10 назв. — англ. 1726-3255 2010 MSC:14F05, 14J60. https://nasplib.isofts.kiev.ua/handle/123456789/155146 We present equivalences between certain categories of vector bundles on projective varieties, namely cokernel bundles, Steiner bundles, syzygy bundles, and monads, and full subcategories of representations of certain quivers. As an application, we provide decomposability criteria for such bundles. We thank Helena Soares for her help with the results in Section 5,and Rosa Maria Miró-Roig for describing to us the monads considered in Section 5.3. We also thank the referee for his help in improving the presentation of the paper. Some of the results presented in this paper were obtained in the PhD thesis of the second author. Partially supported by the CNPq grant number 400356/2015-5 and the FAPESP grant number 2014/14743-8.2 Supported by the FAPESP doctoral grant number 2007/07469-3 and the FAPESP post-doctoral grant number 2011/21398-7. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Vector bundles on projective varieties and representations of quivers Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Vector bundles on projective varieties and representations of quivers |
| spellingShingle |
Vector bundles on projective varieties and representations of quivers Jardim, M. Prata, D.M. |
| title_short |
Vector bundles on projective varieties and representations of quivers |
| title_full |
Vector bundles on projective varieties and representations of quivers |
| title_fullStr |
Vector bundles on projective varieties and representations of quivers |
| title_full_unstemmed |
Vector bundles on projective varieties and representations of quivers |
| title_sort |
vector bundles on projective varieties and representations of quivers |
| author |
Jardim, M. Prata, D.M. |
| author_facet |
Jardim, M. Prata, D.M. |
| publishDate |
2015 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
We present equivalences between certain categories of vector bundles on projective varieties, namely cokernel bundles, Steiner bundles, syzygy bundles, and monads, and full subcategories of representations of certain quivers. As an application, we provide decomposability criteria for such bundles.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/155146 |
| citation_txt |
Vector bundles on projective varieties and representations of quivers / M. Jardim, D.M. Prata // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 217-249. — Бібліогр.: 10 назв. — англ. |
| work_keys_str_mv |
AT jardimm vectorbundlesonprojectivevarietiesandrepresentationsofquivers AT pratadm vectorbundlesonprojectivevarietiesandrepresentationsofquivers |
| first_indexed |
2025-11-30T10:13:58Z |
| last_indexed |
2025-11-30T10:13:58Z |
| _version_ |
1850857304620007424 |