论文标题
光谱图与半格式分支覆盖物相关
Spectral maps associated to semialgebraic branched coverings
论文作者
论文摘要
在本文中，我们证明了半缘图是一个分支覆盖，并且仅当其相关的光谱图是分支覆盖的时。此外，这种光谱图在分支基因座，分支集合和分支索引方面具有整洁的行为。证明先前结果的一个至关重要的事实是，在先前的光谱图下的纤维是单例。
In this article we prove that a semialgebraic map is a branched covering if and only if its associated spectral map is a branched covering. In addition, such spectral map has a neat behavior with respect to the branching locus, the ramification set and the ramification index. A crucial fact to prove the preceding result is the characterization of the prime ideals whose fibers under the previous spectral map are singletons.
