The space of twisted cubics
Artikel i vetenskaplig tidskrift, 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

Hilbert schemes

Twisted cubics

Cohen-Macaulay curves

Fitting ideals

Författare

Katharina Heinrich

Kungliga Tekniska Högskolan (KTH)

Roy Skjelnes

Kungliga Tekniska Högskolan (KTH)

Jan Stevens

Chalmers, Matematiska vetenskaper, Algebra och geometri

Epijournal de Geometrie Algebrique

24916765 (eISSN)

Vol. 5 1-22

Ämneskategorier

Algebra och logik

Beräkningsmatematik

Geometri

DOI

10.46298/EPIGA.2021.VOLUME5.5573

Mer information

Senast uppdaterat

2021-07-05