论文标题
Hadamard和Eñe产品的奇异性
Monodromies of singularities of the Hadamard and eñe product
论文作者
论文摘要
我们证明,Hadamard产品保留了带有全态单粒子的奇异性。我们找到了一个明确的奇异性单元公式,以及指数Eñe产品的类似公式。使用这些公式,我们获得了Hadamard和Eñe产品(这是Big Witt Ring的产物)的经典结果的新直接证明以及一些功能环的不变性。这解释了Eñe产品在除数上的良好行为。
We prove that singularities with holomorphic monodromies are preserved by the Hadamard product. We find an explicit formula for the monodromy of the singularities, and similar formulas for the exponential eñe product. Using these formulas we get new direct proofs of classical results and the invariance of some rings of functions by Hadamard and eñe product (which is the product of the big Witt ring). This explains the good behavior of the eñe product on divisors.