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Author Anghel, Cristian, 1966- author.

Title Globally generated vector bundles with small c₁ on projective spaces / Cristian Anghel, Iustin Coandă, Nicolae Manolache
Published Providence, Rhode Island : American Mathematical Society, [2018]
©2018
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Description 1 online resource (v, 107 pages) : illustrations
Series Memoirs of the American Mathematical Society, 1947-6221 ; volume 253, number 1209
Memoirs of the American Mathematical Society ; no. 1209
Contents Cover; Title page; Introduction; Chapter 1. Preliminaries; Chapter 2. Some general results; Chapter 3. The cases ₁=4 and ₁=5 on!; Chapter 4. The case ₁=4, ₂=5,6 on!; Chapter 5. The case ₁=4, ₂=7 on!; Chapter 6. The case ₁=4, ₂=8 on!; Chapter 7. The case ₁=4, 5d"₂d" on!, e"; Appendix A. The case ₁=4, ₂=8, ₃=2 on!; Appendix B. The case ₁=4, ₂=8, ₃=4 on!; Bibliography; Back Cover
Summary The authors provide a complete classification of globally generated vector bundles with first Chern class c_1 \leq 5 one the projective plane and with c_1 \leq 4 on the projective n-space for n \geq 3. This reproves and extends, in a systematic manner, previous results obtained for c_1 \leq 2 by Sierra and Ugaglia [J. Pure Appl. Algebra 213 (2009), 2141-2146], and for c_1 = 3 by Anghel and Manolache [Math. Nachr. 286 (2013), 1407-1423] and, independently, by Sierra and Ugaglia [J. Pure Appl. Algebra 218 (2014), 174-180]. It turns out that the case c_1 = 4 is much more involved than the previou
Notes "May 2018, volume 253, number 1209 (fourth of 7 numbers)."
Bibliography Includes bibliographical references (pages 105-107)
Notes Print version record
Subject Chern classes.
Geometry, Projective.
Projective spaces.
Vector bundles.
Chern classes.
Geometry, Projective.
MATHEMATICS -- Topology.
Projective spaces.
Vector bundles.
Form Electronic book
Author Coanda, Iustin, 1957- author.
Manolache, Nicolae, 1949- author.
American Mathematical Society, publisher.
ISBN 1470444135
9781470444136