论文标题
循环类型奇点的整体单曲
The integral monodromy of the cycle type singularities
论文作者
论文摘要
与孤立的奇异性的准多项式的Milnor纤维的中间同源性是$ {\ Mathbb Z} $ - 晶格，并配备了有限秩序的自动形态，即整体单差。 Orlik（1972）做出了一个精确的猜想，这将根据多项式的重量来确定这种单片。在这里，我们证明了循环类型奇点的猜想。库珀（1982）的一篇论文包含两个错误。仍然非常有用。我们以此为基础并纠正错误。我们给出其他代数和组合结果。
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.
