Symbolic powers of planar point configurations II

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• 作者：M. Dumnicki^a ; ^{Marcin.Dumnicki@im.uj.edu.pl" class="auth_mail" title="E-mail the corresponding author} ; T. Szemberg^b ; ^{tomasz.szemberg@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; H. Tutaj-Gasińska^a ; ^{Halszka.Tutaj@im.uj.edu.pl" class="auth_mail" title="E-mail the corresponding author}
• 关键词：14C20 ; 14J26 ; 14N20 ; 13A15 ; 13F20
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：220
• 期：5
• 页码：2001-2016
• 全文大小：403 K

文摘

In [12] we began to study the initial sequences α(I^(m))$\alpha (I^{(m)})$, m=1,2,3…$m=1,2,3\dots$, of radical ideals I of finite sets of points in the projective plane. In the present note we complete results obtained in [12] by answering a number of questions left open in the previous note and we extend our considerations to the asymptotic setting of Waldschmidt constants. The concept of the Bezout decomposition introduced in Definition 2.7 might be of independent interest.