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Globally generated vector bundles with small c₁ on projective spaces

Author: Cristian Anghel; Iustin Coanda; Nicolae Manolache; American Mathematical Society,
Publisher: Providence, Rhode Island : American Mathematical Society, [2018] ©2018
Series: Memoirs of the American Mathematical Society, no. 1209.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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.  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Anghel, Cristian, 1966-
Globally generated vector bundles with small c₁ on projective spaces.
Providence, Rhode Island : American Mathematical Society, [2018]
(DLC) 2018017357
(OCoLC)1035767195
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Cristian Anghel; Iustin Coanda; Nicolae Manolache; American Mathematical Society,
ISBN: 9781470444136 1470444135
OCLC Number: 1038079211
Notes: "May 2018, volume 253, number 1209 (fourth of 7 numbers)."
Description: 1 online resource (v, 107 pages) : illustrations
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.
Series Title: Memoirs of the American Mathematical Society, no. 1209.
Responsibility: Cristian Anghel, Iustin Coandă, Nicolae Manolache.

Abstract:

Provides 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 $n \geq 3$.  Read more...

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