Newton Polyhedra of Discriminants of Projections
Newton Polyhedra of Discriminants of Projections
复制标题
投影判别式的牛顿多面体
DOI：
10.1007/s00454-010-9242-7
复制
发表时间：
2008
影响因子：
0.8
通讯作者：
A. Esterov
中科院分区：
文献类型：
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作者：
A. Esterov
对于系数依赖于参数的多项式方程组，其判别式的牛顿多面体是根据系数的牛顿多面体来计算的。这导致了一个明确的公式(涉及环簇的欧拉障碍)，在非混合的情况下，提出了某些开放问题，并推广了一些类似的已知结果(Gelfand等人)。在判别式、结果式和多维行列式中。伯克哈泽，波士顿，1994；Sturmfels in J.Algebraic Comb.32(2)：207-236,1994；离散计算中的麦当劳。天啊。27：501-529,2002；冈萨雷斯-佩雷斯在CAN。J·数学。52(2)：348-368,2000；Funct的Esterov和Khovanskii。肛门。数学课。2(1)，2008)。
For a system of polynomial equations, whose coefficients depend on parameters, the Newton polyhedron of its discriminant is computed in terms of the Newton polyhedra of the coefficients. This leads to an explicit formula (involving Euler obstructions of toric varieties) in the unmixed case, suggests certain open questions in general, and generalizes a number of similar known results (Gelfand et al. in Discriminants, resultants, and multidimensional determinants. Birkhäuser, Boston, 1994; Sturmfels in J. Algebraic Comb. 32(2):207–236, 1994; McDonald in Discrete Comput. Geom. 27:501–529, 2002; Gonzalez-Perez in Can. J. Math. 52(2):348-368, 2000; Esterov and Khovanskii in Funct. Anal. Math. 2(1), 2008).