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math.AC2012
A refinement of Izumi's Theorem
Sébastien Boucksom, Charles Favre, Mattias Jonsson
We improve Izumi's inequality, which states that any divisorial valuation v centered at a closed point 0 on an algebraic variety Y is controlled by the order of vanishing at 0. Mor…
math.AG2012★ 18 cited
Singular semipositive metrics in non-Archimedean geometry
S. Boucksom, C. Favre, M. Jonsson
Let X be a smooth projective Berkovich space over a complete discrete valuation field K of residue characteristic zero, endowed with an ample line bundle L. We introduce a general…