爆炸分裂节族
The blow up split sections family
摘要：
截面簇的通用方案是Kleiman的迭代爆破（其参数化点簇）对参数化截面簇的适应。它们也可以迭代地构造，但迭代步骤不是很清楚。定义放大分割截面族，我们将重复此迭代步骤。粗略地说，它是一种结合了放大和泛截面族的泛性质的态射。这是一个概括的爆炸，因此，我们表明，它表现出某种双理性。但是现在，态射的平坦化分层也起着重要的作用。
英文摘要：
The universal scheme of clusters of sections is an adaption of Kleiman's iterated blow ups (which parametrise clusters of points) to parametrise clusters of sections. They can also be constructed iteratively, but the iterative step is not so clear. Defining the blow up split sections family, we characterise this iterative step. Roughly speaking, it is a morphism that combines the universal properties of blow ups and universal section families. It is a generalisation of blow ups, and as such, we show that it exhibits some sort of birationality. But now, the flattening stratification of a morphism plays also an important role.
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。
