Positivity of line bundles on general blow ups of

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• 作者：Krishna Hanumanthu¹ ; ^{krishna@cmi.ac.in" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 14E25 ; 14C20 ; 14H50 ; secondary ; 14E05 ; 14J26
• 刊名：Journal of Algebra
• 出版年：2016
• 出版时间：1 September 2016
• 年：2016
• 卷：461
• 期：Complete
• 页码：65-86
• 全文大小：480 K

文摘

Let X   be the blow up of b=MathURL&_method=retrieve&_eid=1-s2.0-S0021869316300977&_mathId=si1.gif&_user=111111111&_pii=S0021869316300977&_rdoc=1&_issn=00218693&md5=bb1b715fdf1c1d223148215a3902555d" title="Click to view the MathML source">P² at r   general points b=MathURL&_method=retrieve&_eid=1-s2.0-S0021869316300977&_mathId=si2.gif&_user=111111111&_pii=S0021869316300977&_rdoc=1&_issn=00218693&md5=b3e931567f5d65308fc5dce46283e64c" title="Click to view the MathML source">pb>1b>,…,pb>rb>∈P². We study line bundles on X given by plane curves of degree d   passing through b=MathURL&_method=retrieve&_eid=1-s2.0-S0021869316300977&_mathId=si3.gif&_user=111111111&_pii=S0021869316300977&_rdoc=1&_issn=00218693&md5=e275532937ba61103a6040130199e659" title="Click to view the MathML source">pb>ib> with multiplicity at least b=MathURL&_method=retrieve&_eid=1-s2.0-S0021869316300977&_mathId=si4.gif&_user=111111111&_pii=S0021869316300977&_rdoc=1&_issn=00218693&md5=c62ab21dfde8e8ebad1c8b529e7e23e5" title="Click to view the MathML source">mb>ib>. Motivated by results in bbr0390">[39], we establish conditions for ampleness, very ampleness and global generation of such line bundles.