Timeline for morphism between projective spaces [closed]
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Jun 26, 2013 at 22:29 | history | unlocked | CommunityBot | ||
| S Jun 26, 2013 at 22:29 | history | locked | CommunityBot | ||
| S Jun 26, 2013 at 22:29 | history | closed |
Allen Knutson J.C. Ottem Mariano Suárez-Álvarez Andrey Rekalo Alex B. |
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| Jun 25, 2013 at 18:19 | comment | added | user5117 | A slight variation on J.C Ottem's answer, for an arbitrary curve C: any fibre of such a morphism would have to have dimension n-1, i.e. be a hypersurface in P^n (see Shafarevich Ch.1 for a proof). But any two hypersurfaces in P^n intersect if n>1. | |
| Jun 25, 2013 at 15:36 | answer | added | Misha Verbitsky | timeline score: 5 | |
| Jun 25, 2013 at 3:02 | review | Close votes | |||
| Jun 26, 2013 at 22:29 | |||||
| Jun 22, 2013 at 12:45 | answer | added | user19475 | timeline score: 3 | |
| Jun 22, 2013 at 12:43 | comment | added | J.C. Ottem | For the last question, the number of intersection points could be arbitrarily large, if the degree of $C$ is large. | |
| Jun 22, 2013 at 12:40 | comment | added | J.C. Ottem | A morphism $P^n\to P^1$ would be given by two homogeneous polynomials $f_0,f_1$, but these have a common zero if $n>1$.. | |
| Jun 22, 2013 at 12:35 | history | asked | yangxiangdong | CC BY-SA 3.0 |