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arXiv · 1403.6441

The Cohen-Macaulay space of twisted cubics

Katharina Heinrich
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Abstract

In this work, we describe the Cohen-Macaulay space CM of twisted cubics parameterizing curves $C$ together with a finite map $i: C \to \mathbb{P}^3$ that is generically a closed immersion and such that $C$ has Hilbert polynomial $p(t)=3t+1$ with respect to $i$. We show that CM is irreducible, smooth and birational to one component of the Hilbert scheme of twisted cubics.

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Katharina Heinrich. 2014-03-25. The Cohen-Macaulay space of twisted cubics. https://arxiv.org/abs/1403.6441

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