Timeline for Dimension of the Hilbert scheme of curves
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Jul 19, 2012 at 16:19 | comment | added | rita | (Please forgive the self-advertising!) In an old paper [B. Fantechi, R. Pardini, On the Hilbert scheme of curves in higher-dimensional projective space, Manuscripta Math. 90 (1996), 1-15.] B. Fantechi and I showed that for every $n≥3$ there exist smooth projective curves $C_r\subset P^r$ lying on exactly $n$ components of the Hibert scheme, for infinitely many values of $r$. I don't know whether this partially answers your question. | |
| Jul 19, 2012 at 13:59 | answer | added | Francesco Polizzi | timeline score: 2 | |
| Jul 19, 2012 at 13:42 | comment | added | Jason Starr | Are you asking about the Hilbert scheme parameterizing closed subschemes on $\mathbb{P}^n$ with Hilbert polynomial $f(t) = dt+1-g$? | |
| Jul 19, 2012 at 12:45 | history | asked | Alex | CC BY-SA 3.0 |