AI 中文总结
研究四维仿射空间中单项式曲线射影闭包的完全交性质，给出其定义理想为完全交的刻画，还探讨其是否算术科恩 - 麦考利。
AI 中文摘要
本文研究仿射单项式曲线射影闭包的完全交性质。对于四维仿射空间中的单项式曲线，给出其射影闭包定义理想何时为完全交的完整明确刻画，还研究了射影闭包何时是算术科恩 - 麦考利的。
英文摘要
In this paper, we study the complete intersection property of projective closures of affine monomial curves. For monomial curves in the four-dimensional affine space, we give a complete and explicit characterization of when the defining ideals of their projective closures are complete intersections. We also investigate when the projective closures are arithmetically Cohen--Macaulay.
Comments16 pages
