Globally generated vector bundles with small c₁ on projective spaces /

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 Sie...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Anghel, Cristian, 1966- (Autor), Coanda, Iustin, 1957- (Autor), Manolache, Nicolae, 1949- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [2018]
Colección:Memoirs of the American Mathematical Society ; no. 1209.
Temas:
Vector bundles.
Geometry, Projective.
Projective spaces.
Chern classes.
Fibrés vectoriels.
Géométrie projective.
Espaces projectifs.
Classes de Chern.
MATHEMATICS > Topology.
Geometría proyectiva
Chern classes
Geometry, Projective
Projective spaces
Vector bundles
Acceso en línea:Texto completo
Descripción
Sumario: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.
Notas:"May 2018, volume 253, number 1209 (fourth of 7 numbers)."
Descripción Física:1 online resource (v, 107 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 105-107).
ISBN:9781470444136
1470444135
ISSN:1947-6221 ;

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