扭曲立方体的空间

Pub Date : 2019-04-01 DOI:10.46298/epiga.2021.volume5.5573

K. Heinrich, R. Skjelnes, J. Stevens

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引用次数: 2

摘要

研究了射影n空间中扭曲立方体空间的Cohen-Macaulay紧化问题。这种紧化是表示具有Hilbert多项式3t+1的cm曲线函子的精细模格式。证明了投影三维空间中cm曲线的模格式与Hilbert格式的扭曲三次分量是同构的。我们还描述了n空间中扭曲立方体的紧化。评论:22页。最终版本

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The space of twisted cubics

We consider the Cohen-Macaulay compactification of the space of twisted cubics in projective n-space. This compactification is the fine moduli scheme representing the functor of CM-curves with Hilbert polynomial 3t+1. We show that the moduli scheme of CM-curves in projective 3-space is isomorphic to the twisted cubic component of the Hilbert scheme. We also describe the compactification for twisted cubics in n-space. Comment: 22 pages. Final version

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