The space of twisted cubics
Journal article, 2021

We consider the Cohen-Macaulay compactification of the space of twisted cubics in Pn. 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 P3 is isomorphic to the twisted cubic component of the Hilbert scheme. We also describe the compactification for twisted cubics in Pn

Cohen-Macaulay curves

Fitting ideals

Hilbert schemes

Twisted cubics

Author

Katharina Heinrich

Royal Institute of Technology (KTH)

Roy Skjelnes

Royal Institute of Technology (KTH)

Jan Stevens

Chalmers, Mathematical Sciences, Algebra and geometry

Epijournal de Geometrie Algebrique

24916765 (eISSN)

Vol. 5 1-22

Subject Categories

Algebra and Logic

Computational Mathematics

Geometry

DOI

10.46298/EPIGA.2021.VOLUME5.5573

More information

Latest update

7/28/2021