经典簇的符号幂
Symbolic Powers of Classical Varieties
摘要：
设$R=\mathbb{K}[x_1,\dots,x_n]$和$\mathfrak{a}_1,\dots,\mathfrak{a}_m$是满足某些性质的齐次理想，这些性质包括诺特符号Rees代数的描述。我们给一个问题的解决方案的Harbourne和Huneke这套理想。我们还计算了Waldschlovsky常数和复苏，并表明它具有更强的版本的Chudnovsky和Demailly型边界。进一步证明了这些性质对于一般行列式理想、一般对称矩阵的子矩阵、一般广义Hankel矩阵和斜对称矩阵的pf_n理想等经典簇都是满足的.
英文摘要：
Let $R=\mathbb{K}[x_1,\dots,x_n]$ and let $\mathfrak{a}_1,\dots,\mathfrak{a}_m$ be homogeneous ideals satisfying certain properties, which include a description of the Noetherian symbolic Rees algebra. We give a solution to a question of Harbourne and Huneke for this set of ideals. We also compute the Waldschmidt constant and resurgence and show that it exhibits a stronger version of the Chudnovsky and Demailly-type bounds. We further show that these properties are satisfied for classical varieties such as the generic determinantal ideals, minors of generic symmetric matrices, generic extended Hankel matrices, and ideal of pfaffians of skew-symmetric matrices.
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