Timeline for Any irreducible component of the HIlbert scheme contains an irreducible element
Current License: CC BY-SA 3.0
4 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Jul 9, 2012 at 22:50 | comment | added | Jack Huizenga | Review the sections in Eisenbud-Harris, "The geometry of schemes," on flat limits for similar constructions. Alternately, this is clear from a topological standpoint, as for any neighborhood of the line being projected onto (in ordinary topology) the curves $M_t(C)$ will lie in that neighborhood for small enough $t$ (by a compactness argument, since $C$ is bounded away from the center of projection). | |
Jul 9, 2012 at 21:35 | comment | added | Naga Venkata | @Huizenga: Thanks for the answer. However, I do not quite understand why the limiting curve that you are talking about is supported on a line. Could you please explain this part or suggest me some kind of reference. | |
Jul 9, 2012 at 16:34 | vote | accept | Naga Venkata | ||
Jul 9, 2012 at 9:46 | history | answered | Jack Huizenga | CC BY-SA 3.0 |