论文标题
在Noether和Cayley-Bacharach定理上具有PD多重性
On the Noether and the Cayley-Bacharach theorems with PD multiplicities
论文作者
论文摘要
在本文中，我们证明了Noether定理，其中PD运算符描述的多重性。尽管在这种情况下有已知的模拟版本，但提供的条件是必要且足够的。我们还证明了具有PD多重性的Cayley-Bacharach定理。据我们所知，这是该定理的第一个概括。
In this paper, we prove the Noether theorem with the multiplicities described by PD operators. Despite the known analogue versions in this case the provided conditions are necessary and sufficient. We also prove the Cayley-Bacharach theorem with PD multiplicities. As far as we know this is the first generalization of this theorem in the case of multiple intersections.
