Globally generated vector bundles with small c₁ on projective spaces / Cristian Anghel, Iustin Coandă, Nicolae Manolache

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Memoirs of the American Mathematical Society ; volume 253, number 1209Publisher: Providence, Rhode Island : American Mathematical Society, 2018Description: 1 Online-Ressource (v, 107 pages)Subject(s): Additional physical formats: 1470428385 | 9781470428389 | 1470444135. | 9781470444136. | Erscheint auch als: No title Druck-Ausgabe | Print version: Globally generated vector bundles with small c₁ on projective spaces. Providence, Rhode Island : American Mathematical Society, [2018]DDC classification:
  • 514/.224
MSC: MSC: *14J60 | 14H50 | 14N25LOC classification:
  • QA612.63
Online resources: 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 previouPPN: PPN: 1026544386Package identifier: Produktsigel: ZDB-4-NLEBK
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