Timeline for Compact complex surfaces having infinitely many negative curves?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Sep 4, 2011 at 18:01 | comment | added | J.C. Ottem | No not redundant, just quite well-known. Look at references for when the cone of curves is not finitely generated. For example, Kovacs' paper 'The cone of curves on a K3 surface' is a nice starting point. In particular, you'll see K3 surfaces with infinitely many $(-2)$-curves. The Fermat quartic $x^4+y^4+z^4+w^4=0$ is one example. Also, if a surface has a large automorphism group and contains one negative curve it typically contains infinitely many - this happens for example for Enriques surfaces, see eg mathoverflow.net/questions/52397/… | |
| Sep 4, 2011 at 17:53 | vote | accept | anonymous | ||
| Sep 4, 2011 at 17:49 | comment | added | anonymous | So I asked a redundant question. | |
| Sep 4, 2011 at 5:11 | comment | added | Jorge Vitório Pereira | Related question: mathoverflow.net/questions/2179/… | |
| Sep 4, 2011 at 4:14 | answer | added | John | timeline score: 4 | |
| Sep 4, 2011 at 4:14 | comment | added | Noam D. Elkies | Any (nonconstant) elliptic surface with infinite Mordell-Weil group should do. | |
| Sep 4, 2011 at 4:07 | history | asked | anonymous | CC BY-SA 3.0 |