和积分插值器的代数构造
An algebraic construction of sum-integral interpolators
摘要：
本文给出了多面体的欧拉-麦克劳林公式的代数构造。所得公式推广并统一了Morelli和Pommersheim-Thomas的格点公式和Berline-Vergne的Euler-Maclaurin公式。本文的方法源于复曲面簇的理论，并恢复了以前关于复曲面簇的特征类的结果，本文是独立的，不依赖于复曲面几何的结果。我们的目标是特别展示在一个组合的方式成分，如托德类和周期级交叉周环，首先进入理论的多面体从代数几何。
英文摘要：
This paper presents an algebraic construction of Euler-Maclaurin formulas for polytopes. The formulas obtained generalize and unite the previous lattice point formulas of Morelli and Pommersheim-Thomas, and the Euler-Maclaurin formulas of Berline-Vergne While the approach of this paper originates in the theory of toric varieties, and recovers previous results about characteristic classes of toric varieties, the present paper is self-contained and does not rely on results from toric geometry. We aim in particular to exhibit in a combinatorial way ingredients such as such Todd classes and cycle-level intersections in Chow rings, that first entered the theory of polytopes from algebraic geometry.
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。
