对齐对应关系

摘要：

我们研究了在Hilbert格式的适当乘积内，以同样的方式“对齐”的光滑簇X的零维子格式的对应关系。我们证明了这样的对应在X的切丛上具有由旗丛上的仿射丛构成的其他这样的对应的标覆盖。此外，我们表明，对于许多这样的覆盖，这些覆盖的对应的闭包变化如此之大，以至于没有紧化的覆盖主导所有这些闭包。

英文摘要：

We study correspondences of zero-dimensional subschemes of a smooth variety X "aligned" in the same way in inside the appropriate product of Hilbert schemes. We show that such correspondences have etale covering by other such correspondences that are affine bundles over flag bundles on the tangent bundle of X. Moreover, we show that for many such coverings, the closures of the correspondences having these coverings vary so much that there is no compactification of the covering dominating all of these closures.

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