Timeline for Convex varieties that are not homogeneous
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 24, 2010 at 11:24 | comment | added | Calc | Yes. More generally, where can I find examples of this kind? | |
| Sep 21, 2010 at 6:42 | vote | accept | Calc | ||
| Sep 21, 2010 at 6:42 | vote | accept | Calc | ||
| Sep 21, 2010 at 6:42 | |||||
| Sep 21, 2010 at 5:19 | comment | added | Angelo | Well, the space of stable maps of genus 0 to $X$ is the union of infinitely many spaces, one for each degree (once you fix a polarization on $X$). Now, in degree zero you get the space of constant maps, which is isomorphic to $X$. If there are no rational curves on $X$, this is all; otherwise, for each rational curve you get maps in infinitely many degrees. I suppose that you could rephrase your question as: if you fix a degree (or a homology class), can you have a moduli space with two components? The answer is yes, that's easy. Do you care to see examples? | |
| Sep 20, 2010 at 21:59 | vote | accept | Calc | ||
| Sep 21, 2010 at 6:42 | |||||
| Sep 20, 2010 at 21:13 | comment | added | Calc | Thank you very much for your answer! I was after an example of a disconnected moduli space of genus $0$ stable maps, with target a convex variety. So as an addendum to this question, can one easily infer from what you said an example of a variety $X$ whose moduli space of genus $0$ stable maps consists of two distinct points? | |
| Sep 20, 2010 at 20:37 | vote | accept | Calc | ||
| Sep 20, 2010 at 21:22 | |||||
| Sep 20, 2010 at 14:47 | vote | accept | Calc | ||
| Sep 20, 2010 at 14:47 | |||||
| Sep 20, 2010 at 14:40 | history | answered | Angelo | CC BY-SA 2.5 |