有界秩对称张量的合势是在有界度下生成的
Syzygies of bounded rank symmetric tensors are generated in bounded degree
摘要：
研究了特征为0的域上固定交换分次代数的Veronese子环的割线理想的合矢。一个推论是，射影概形X的任何Veronese嵌入的第r个正割簇的坐标环的第i个合合模的最小生成元的次数可以由一个常数来定界，该常数只依赖于i、r和X，而不依赖于Veronese嵌入的选择。
英文摘要：
We study the syzygies of secant ideals of Veronese subrings of a fixed commutative graded algebra over a field of characteristic 0. One corollary is that the degrees of the minimal generators of the ith syzygy module of the coordinate ring of the rth secant variety of any Veronese embedding of a projective scheme X can be bounded by a constant that only depends on i, r, and X, and not on the choice of the Veronese embedding.
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