论文标题
随机单体理想的共同体的特征依赖性
Characteristic dependence of syzygies of random monomial ideals
论文作者
论文摘要
Syzygies何时取决于该领域的特征？即使对于研究精彩的例子家庭，也很少知道。对于一个随机单一理想的家族，即史丹利（Stanley） - 随机标志复合体的理想，我们证明贝蒂数字几乎总是取决于特征。使用此结果，我们还为代数品种的渐近性依赖性依赖性而开发了一种启发式。
When do syzygies depend on the characteristic of the field? Even for well-studied families of examples, very little is known. For a family of random monomial ideals, namely the Stanley--Reisner ideals of random flag complexes, we prove that the Betti numbers asymptotically almost always depend on the characteristic. Using this result, we also develop a heuristic for characteristic dependence of asymptotic syzygies of algebraic varieties.
