Timeline for Example of projective variety that do not contain algebraic curves of genus strictly greater to $1$
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Mar 12, 2017 at 18:58 | history | edited | Armando j18eos | CC BY-SA 3.0 |
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| Feb 13, 2017 at 5:58 | review | Close votes | |||
| Feb 13, 2017 at 13:37 | |||||
| Feb 12, 2017 at 19:16 | history | edited | Armando j18eos | CC BY-SA 3.0 |
added 381 characters in body
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| Feb 12, 2017 at 13:45 | answer | added | Bertie | timeline score: 8 | |
| Feb 12, 2017 at 13:42 | comment | added | Jason Starr | Could you please clarify: are you fixing $g$ and then asking for fixed $g$ whether there exists a smooth projective variety that contains no curve of genus $g$? The answer to that is yes, e.g., any simple Abelian variety of dimension $>g$. However, by the adjunction formula, the genera of complete intersection curves of sufficiently ample divisors are arbitrarily positive. So every projective variety of dimension $\geq 2$ contains curves of unbounded genera. | |
| Feb 12, 2017 at 13:31 | history | asked | Armando j18eos | CC BY-SA 3.0 |