论文标题

常规的插值问题及其应用

A regular interpolation problem and its applications

论文作者

Das, Nilkantha

论文摘要

在本文中,我们证明了以下插值问题:如果函数的组成和仿射品种之间的常规图是常规函数,则存在目标品种的全局常规函数,并且在常规地图的图像上与函数相吻合,提供了定期映射的函数,而目标变体是循序于阶乘的,并且常规映射几乎是过度的。我们还讨论了插值问题的一些应用。

In this article, we prove the following interpolation problem: if the composition of a function and a regular map between affine varieties is a regular function, then there exists a global regular function of the target variety that coincide with the function on the image of the regular map provided the target variety is factorial and the regular map is almost surjective. We also discuss a few applications of the interpolation problem.

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