Projective Bundles on Infinite-Dimensional Complex Spaces
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| 024 | 7 | 0 | |a 10.1515/GMJ.2004.43 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/GMJ.2004.43 | ||
| 100 | 1 | |a Ballico |D E. |u Department of Mathematics, University of Trento, 38050 Povo (TN), Italy. E-mail: ballico@science.unitn.it | |
| 245 | 1 | 0 | |a Projective Bundles on Infinite-Dimensional Complex Spaces |h [Elektronische Daten] |c [E. Ballico] |
| 520 | 3 | |a Let V be a complex localizing Banach space with countable unconditional basis and E a rank r holomorphic vector bundle on P(V). Here we study the holomorphic embeddings of P(E) into products of projective spaces and the holomorphic line bundles on P(E). In particular we prove that if r ≥ 3, then H 1(P(E), L) = 0 for every holomorphic line bundle L on P(E). | |
| 540 | |a © Heldermann Verlag | ||
| 690 | 7 | |a Infinite-dimensional projective space |2 nationallicence | |
| 690 | 7 | |a complex Banach manifold |2 nationallicence | |
| 690 | 7 | |a holomorphic vector bundle |2 nationallicence | |
| 690 | 7 | |a holomorphic line bundle |2 nationallicence | |
| 690 | 7 | |a localizing Banach space |2 nationallicence | |
| 690 | 7 | |a Banach space with countable unconditional basis |2 nationallicence | |
| 773 | 0 | |t Georgian Mathematical Journal |d Walter de Gruyter GmbH & Co. KG |g 11/1(2004-03), 43-48 |x 1072-947X |q 11:1<43 |1 2004 |2 11 |o GMJ | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/GMJ.2004.43 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/GMJ.2004.43 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Ballico |D E. |u Department of Mathematics, University of Trento, 38050 Povo (TN), Italy. E-mail: ballico@science.unitn.it | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Georgian Mathematical Journal |d Walter de Gruyter GmbH & Co. KG |g 11/1(2004-03), 43-48 |x 1072-947X |q 11:1<43 |1 2004 |2 11 |o GMJ | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||