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Rationality of Seshadri constants on general blow ups of P2

Rationality of Seshadri constants on general blow ups of P2

Let X be a projective surface and let L be an ample line bundle on X. The global Seshadri constant ε(L) of L is defined as the infimum of Seshadri constants ε(L,x) as x∈X varies. It is an interesting question to ask if ε(L) is a rational number for any …