发表机构
Seoul National University; Research Institute of Mathematics, Seoul National University（首尔国立大学; 首尔国立大学数学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文用Newton凸体刻画正规仿射环面复空间上环面多次调和函数的解析乘子理想层，证明其由有限个亚纯单项式生成，并推广了An、Howald、Blickle、Rashkovskii和Guenancia的既有结果。
AI 中文摘要
本文研究配备环面不变有理除子的正规仿射环面复解析空间上环面多次调和函数的解析乘子理想层，假设对数典范除子的正整数倍是Cartier除子。我们用Newton凸体描述这些层，并证明它们由有限个亚纯单项式全局生成。我们的结果推广了An关于单项式理想的描述以及Howald和Blickle的公式，并恢复了仿射空间上Rashkovskii和Guenancia的描述。我们还将此描述扩展到通过减去单项式理想权的正有理倍数得到的权。
英文摘要
In this paper, we study analytic multiplier ideal sheaves of toric plurisubharmonic functions on normal affine toric complex analytic spaces equipped with torus-invariant rational divisors, assuming that a positive integer multiple of the log canonical divisor is Cartier. We describe these sheaves in terms of Newton convex bodies and show that they are globally generated by finitely many meromorphic monomials. Our results generalize the description of An and the formulas of Howald and Blickle for monomial ideals, and recover the descriptions of Rashkovskii and Guenancia on affine space. We also extend this description to weights obtained by subtracting positive rational multiples of monomial ideal weights.
Comments33pages. Comments are welcome!
