Timeline for Why a subvariety of a variety of general type is of general type
Current License: CC BY-SA 4.0
16 events
| when toggle format | what | by | license | comment | |
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| Mar 21, 2019 at 4:31 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
updated the dead link (the question has been bumped anyway by a new answer)
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| Mar 20, 2019 at 5:46 | answer | added | Ning JIANG | timeline score: 5 | |
| Dec 7, 2009 at 2:10 | vote | accept | Fei YE | ||
| Dec 7, 2009 at 1:54 | vote | accept | Fei YE | ||
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| Dec 7, 2009 at 1:54 | vote | accept | Fei YE | ||
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| Dec 7, 2009 at 1:53 | vote | accept | Fei YE | ||
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| Dec 7, 2009 at 1:51 | vote | accept | Fei YE | ||
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| Dec 7, 2009 at 1:51 | vote | accept | Fei YE | ||
| Dec 7, 2009 at 1:51 | |||||
| Dec 7, 2009 at 1:35 | comment | added | Fei YE | A correction, $\Omega_D$ and $\Omega_X$ should be read as $\omega_D$ and $\omega_X$. | |
| Dec 7, 2009 at 0:58 | answer | added | Jorge Vitório Pereira | timeline score: 4 | |
| Dec 7, 2009 at 0:52 | comment | added | Fei YE | As we know, for a codimension 1 subvariety $D$ in $X$, the canonical line bundle $\Omega_D$ on $D$ isomorphic to the restriction of $(\Omega_X\otimes\mathcal{O}_X(D))|_D$. This is called the adjunction formula. But for higher codimension subvarieties, this formula is no longer true. As I know, Kawamata has papers to deal with the higher codimension case. Can someone explain Kawamata's results? | |
| Dec 7, 2009 at 0:00 | answer | added | VA. | timeline score: 12 | |
| Dec 6, 2009 at 23:54 | comment | added | JSE | I think he means that if X is general type, there is a proper closed subvariety Z of X with the property that EVERY closed subvariety of X not of general type is a subscheme of Z. | |
| Dec 6, 2009 at 22:00 | comment | added | Leonid Positselski | I am no algebraic geometer, but still what on Earth are subvarieties of codimension no less than 2 containing a general point? | |
| Dec 6, 2009 at 21:17 | history | edited | Fei YE | CC BY-SA 2.5 |
added 45 characters in body; added 11 characters in body
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| Dec 6, 2009 at 21:09 | history | asked | Fei YE | CC BY-SA 2.5 |