标题： 雅可比理想的一个最小解对于一般曲线排列 显示英文标题

标题： A minimal resolution for the Jacobian ideal of a generic curve arrangement

摘要： 我们考虑复射影平面上的节点曲线$C$，其不可约分支$C_i$是光滑的。 使用 Th. Kahle、H. Schenck、B. Sturmfels 和 M. Wiesmann 关于似然对应性的最新结果，描述了雅可比理想$C$的第一和第二交错模的最小生成元集合$G$。 The elements of $G$ have explicit formulas in terms of the equations $f_i=0$ of the irreducible components $C_i$ of $C$. 显示英文摘要

摘要： We consider a nodal curve $C$ in the complex projective plane whose irreducible components $C_i$ are smooth. A minimal set of generators $G$ for the first and second syzygy modules of the Jacobian ideal of $C$ are described, using recent results by Th. Kahle, H. Schenck, B. Sturmfels and M. Wiesmann on the likelihood correspondence. The elements of $G$ have explicit formulas in terms of the equations $f_i=0$ of the irreducible components $C_i$ of $C$.