| Résume | Abstract: Suppose that X is a projective variety and that L is a line bundle on X. The volume of L is a measure of the asymptotic growth rate of the number of sections of tensor powers of L. After providing some background on this invariant, I will explain some pathological behaviors of the volume function which have origins in the dynamics of birational automorphisms of a certain Calabi-Yau threefold X.
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