Let \({\mathscr {A}}=m_1p_1+ \cdots +m_np_n\) be a fat point subscheme of \({\mathbb {P}}^2\), and let \(I({\mathscr {A}})\), which is called a fat point ideal, be its corresponding ideal in \({\mathbb {K}}[{\mathbb {P}}^2]\). In this note, we identify those fat point ideals in \({\mathbb {K}} [{\mathbb {P}}^2]\) for which their Waldschmidt constants are less than 5 / 2.

中文翻译：

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Waldschmidt常数小于5/2的$$ {\ mathbb {P}} ^ 2 $$ P2中的所有胖点子方案

令\（{\ mathscr {A}} = m_1p_1 + \ cdots + m_np_n \）为\（{\ mathbb {P}} ^ 2 \）的胖子模式，令\（I（{\ mathscr {A} }）\），称为胖点理想，是\（{\ mathbb {K}} [{\ mathbb {P}} ^ 2] \）中的对应理想。在本说明中，我们在\（{\ mathbb {K}} [{\ mathbb {P}} ^ 2] \）中确定那些Waldschmidt常数小于5/2的胖点理想。