论文标题

泰勒分辨率在完整的交叉点上

A Taylor Resolution Over Complete Intersections

论文作者

Sobieska, Aleksandra

论文摘要

泰勒分辨率是在多项式环上研究自由分辨率的基本对象,这是由于其明确的公式,细胞/组合结构以及适用于任何及所有单一理想。本文概括了泰勒分辨率通过Eisenbud--Shamash构造来完成交叉路。

The Taylor resolution is a fundamental object in the study of free resolutions over the polynomial ring, due to its explicit formula, cellular/combinatorial structure, and applicability to any and all monomial ideals. This paper generalizes the Taylor resolution to complete intersection rings via the Eisenbud--Shamash construction.

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