Globally generated vector bundles on with low first Chern classes

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• 作者：E. Ballico^a ; ^{edoardo.ballico@unitn.it" class="auth_mail" title="E-mail the corresponding author} ; S. Huh^b ; ^{sukmoonh@skku.edu" class="auth_mail" title="E-mail the corresponding author} ; F. Malaspina^c ; ^{francesco.malaspina@polito.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：14J60 ; 14H50 ; 14M07
• 刊名：Journal of Algebra
• 出版年：2016
• 出版时间：15 March 2016
• 年：2016
• 卷：450
• 期：Complete
• 页码：487-521
• 全文大小：686 K

文摘

We classify globally generated vector bundles on P¹×P¹×P¹${\mathbb{P}}^1\times {\mathbb{P}}^1\times {\mathbb{P}}^1$ with small first Chern class, i.e. c₁=(a₁,a₂,a₃)$c_1=(a_1,a_2,a_3)$, a_i≤2$a_i\le 2$. Our main method is to investigate the associated smooth curves to globally generated vector bundles via the Hartshorne–Serre correspondence.