Fano varieties
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Problem 2: Hartshorne Exercise IV.3.3 and some generalizations of Problem 1
We first make some interesting generalizations to the previous post, problem 1. Recall that we showed…
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Problem 1: Show that the blowup of $\Bbb P_k^2$ at up to 8 points can be Fano.
Define inductively a sequence of blowups $\varepsilon_n:S_n\ra S_{n-1}$, where $\varepsilon_n:S_n\ra S_{n-1}$ is the blowup of $S_{n-1}$…