A pathology of asymptotic multiplicity in the relative setting

作者:Lesieutre John*
来源:Mathematical Research Letters, 2016, 23(5): 1433-1451.
DOI:10.4310/mrl.2016.v23.n5.a9

摘要

We point out an example of a projective family pi : X -> S, a sub-variety V subset of X, and a pi-pseudoeffective divisor D on X for which the asymptotic multiplicity sigma(V) (D; X/S) is infinite. This shows that the divisorial Zariski decomposition is not always defined for pseudoeffective divisors in the relative setting.

  • 出版日期2016-9

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