循环型奇点的积分单值性
The integral monodromy of the cycle type singularities
摘要：
具有孤立奇点的拟齐次多项式的Milnor纤维的中同调是一个${\mathbb Z}$ -格，并具有有穷级的自同构，即积分单值。Orlik（1972）提出了一个精确的猜想，它将根据多项式的权重来确定这种单值性。在这里，我们针对循环型奇点证明了这个猜想。Cooper（1982）的一篇论文也有两个错误。它仍然非常有用。我们以此为基础，纠正错误。我们给额外的代数和组合的结果。
英文摘要：
The middle homology of the Milnor fiber of a quasihomogeneous polynomial with an isolated singularity is a ${\mathbb Z}$-lattice and comes equipped with an automorphism of finite order, the integral monodromy. Orlik (1972) made a precise conjecture, which would determine this monodromy in terms of the weights of the polynomial. Here we prove this conjecture for the cycle type singularities. A paper of Cooper (1982) with the same aim contained two mistakes. Still it is very useful. We build on it and correct the mistakes. We give additional algebraic and combinatorial results.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
