Abstract
We study Sarkisov links initiated by the toric weighted blowup of a point in \mathbb{P}^4 using variation of GIT. We completely classify which of these initiate Sarkisov links and describe the links explicitly. Moreover, if X is the toric weighted blowup of \mathbb{P}^d at a point, we give a simple criterion in terms of the weights of the blowup that characterises when X is weak Fano.
Published Version
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