Timeline for Negative definite of exceptional curve in higher dimension
Current License: CC BY-SA 4.0
6 events
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Jul 10 at 8:59 | comment | added | Jason Starr | An alternative argument is to use the asymptotics of (complex analytic) Riemann-Roch for the integer-valued function $\chi(S,\mathcal{O}_S(nD))$ of $n$, where $D$ is an effective divisor whose support is contained in $C$. The leading term is the self-intersection of $D$ on $S$. However, it is straightforward to see that both $h^0$ and $h^2$ do not grow more than linearly in $n$. Thus, the self-intersection must be nonpositive. | |
Jul 9 at 17:30 | history | edited | Hydrogen | CC BY-SA 4.0 |
added 81 characters in body
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Jul 9 at 8:24 | history | became hot network question | |||
Jul 9 at 7:52 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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Jul 9 at 5:21 | answer | added | Sasha | timeline score: 4 | |
Jul 8 at 23:54 | history | asked | Hydrogen | CC BY-SA 4.0 |