An equidistribution theorem for certain birational maps of P<SUP>k</SUP>

초록

We prove an equidistribution theorem of positive closed currents for a certain class of birational maps f(+) : P-k -> P-k of algebraic degree d >= 2 satisfying U-n >= 0 f(-)(n)(I+) boolean AND U-n >= 0 f(-)(n)(I-) = theta, where f- is the inverse of f+ and I +/- are the sets of indeterminacy for f +/-, respectively.

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