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math.CV2004
Valuations and multiplier ideals
Charles Favre, Mattias Jonsson
We present a new approach to the study of multiplier ideals in a local, two-dimensional setting. Our method allows us to deal with ideals, graded systems of ideals and plurisubharm…
math.CV2004
Valuative analysis of planar plurisubharmonic functions
Charles Favre, Mattias Jonsson
We show that valuations on the ring R of holomorphic germs in dimension 2 may be naturally evaluated on plurisubharmonic functions, giving rise to generalized Lelong numbers in the…