On the non-existence of orthogonal instanton bundles on P^{2n+1}
In this paper we prove that there do not exist orthogonal instanton bundles on <strong>P</strong>^{2n+1} . In order to demonstrate this fact, we propose a new way of representing the invariant, introduced by L. Costa and G. Ottaviani, related to a rank <em>2n</em> instanton b...
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Università degli Studi di Catania
2009-11-01
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| Series: | Le Matematiche |
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| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/755 |
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doaj-039ce97983124e8a8371c635e9d88a552020-11-25T01:49:54ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982009-11-016428190719On the non-existence of orthogonal instanton bundles on P^{2n+1}Łucja FarnikDavide FrapportiSimone MarchesiIn this paper we prove that there do not exist orthogonal instanton bundles on <strong>P</strong>^{2n+1} . In order to demonstrate this fact, we propose a new way of representing the invariant, introduced by L. Costa and G. Ottaviani, related to a rank <em>2n</em> instanton bundle on <strong>P</strong>^{2n+1}.<strong><br /></strong>http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/755Instanton bundlesOrthogonal bundlesSymplectic bundles |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Łucja Farnik Davide Frapporti Simone Marchesi |
| spellingShingle |
Łucja Farnik Davide Frapporti Simone Marchesi On the non-existence of orthogonal instanton bundles on P^{2n+1} Le Matematiche Instanton bundles Orthogonal bundles Symplectic bundles |
| author_facet |
Łucja Farnik Davide Frapporti Simone Marchesi |
| author_sort |
Łucja Farnik |
| title |
On the non-existence of orthogonal instanton bundles on P^{2n+1} |
| title_short |
On the non-existence of orthogonal instanton bundles on P^{2n+1} |
| title_full |
On the non-existence of orthogonal instanton bundles on P^{2n+1} |
| title_fullStr |
On the non-existence of orthogonal instanton bundles on P^{2n+1} |
| title_full_unstemmed |
On the non-existence of orthogonal instanton bundles on P^{2n+1} |
| title_sort |
on the non-existence of orthogonal instanton bundles on p^{2n+1} |
| publisher |
Università degli Studi di Catania |
| series |
Le Matematiche |
| issn |
0373-3505 2037-5298 |
| publishDate |
2009-11-01 |
| description |
In this paper we prove that there do not exist orthogonal instanton bundles on <strong>P</strong>^{2n+1} . In order to demonstrate this fact, we propose a new way of representing the invariant, introduced by L. Costa and G. Ottaviani, related to a rank <em>2n</em> instanton bundle on <strong>P</strong>^{2n+1}.<strong><br /></strong> |
| topic |
Instanton bundles Orthogonal bundles Symplectic bundles |
| url |
http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/755 |
| work_keys_str_mv |
AT łucjafarnik onthenonexistenceoforthogonalinstantonbundlesonp2n1 AT davidefrapporti onthenonexistenceoforthogonalinstantonbundlesonp2n1 AT simonemarchesi onthenonexistenceoforthogonalinstantonbundlesonp2n1 |
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1725004125512400896 |