Abstract
We give a proof of local strong factorization of a birational, monomial extension of regular local rings along a valuation of rank 1 and maximal rational rank. Our proof uses methods from linear algebra, and is in the spirit of Christensen's proof of this result in dimension 3. This has also been proven by Karu using toric geometry.
Citation
Steven Dale Cutkosky. Hema Srinivasan. "Factorizations of birational extensions of local rings." Illinois J. Math. 51 (1) 41 - 56, Spring 2007. https://doi.org/10.1215/ijm/1258735323
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