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arXiv · 1305.3464

Globally Generated Vector Bundles on P^n with c_1=4

Cristian Anghel·Iustin Coanda·Nicolae Manolache
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Abstract

We classify globally generated vector bundles on the projective n-space with first Chern class = 4. This extends previous results for first Chern class at most 3, namely for 2 of Sierra and Ugaglia [J. Pure Appl. Algebra 213 (2009), 2141-2146] and for 3 of Anghel and Manolache [arXiv:1202.6261] and, independently, of Sierra and Ugaglia [arXiv:1203.0185]. It turns out that the case first Chern class = 4 is much more involved than the previous cases, especially on the projective 3-space. Among the bundles appearing in our classification one can find the Sasakura rank 3 vector bundle on the projective 4-space (suitably twisted). In the new version Sections 1, 2, 4. 5, 6 and 7 have been rewritten and some arguments and the presentation have been, hopefully, improved.

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Cristian Anghel, Iustin Coanda, Nicolae Manolache. 2013-05-15. Globally Generated Vector Bundles on P^n with c_1=4. https://arxiv.org/abs/1305.3464

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