论文标题
在减少的曲曲面空间上
On reduced arc spaces of toric varieties
论文作者
论文摘要
众所周知，仿生锥体的弧形空间通常是未降低的。最近证明，由于与表示理论和组合学的各种联系，降低的方案结构值得研究。在本文中，我们开发了一种通用机械，用于描述折叠式圆锥体的弧形空间减少。我们将技术应用于许多经典案例，并通过当前代数的表示理论探索一些联系。
An arc space of an affine cone over a projective toric variety is known to be non-reduced in general. It was demonstrated recently that the reduced scheme structure is worth studying due to various connections with representation theory and combinatorics. In this paper we develop a general machinery for the description of the reduced arc spaces of affine cones over toric varieties. We apply our techniques to a number of classical cases and explore some connections with representation theory of current algebras.
