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Timeline for Weak Fano and Log fano varieties

Current License: CC BY-SA 3.0

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Apr 9, 2014 at 18:34 history edited Karl Schwede CC BY-SA 3.0
typos
Apr 9, 2014 at 13:31 comment added user49214 Thank you very much. Yes, you are right, $e>2$ works. Here is the computation: the anticanonical divisor is $-K_{X_e} = -2C_0-(2+e)F$, where $C_0$ is the section and $F$ is the fiber. Therefore $-K_{X_e}\cdot C_0 = 2C_0^2+2+e = -e+2$, and $-K_{X_e}$ is not nef for $e>2$.
Apr 9, 2014 at 13:20 history edited Karl Schwede CC BY-SA 3.0
added 43 characters in body
Apr 9, 2014 at 1:11 history answered Karl Schwede CC BY-SA 3.0