Factorizations of birational extensions of local rings
Cutkosky, Steven Dale ; Srinivasan, Hema
Illinois J. Math., Tome 51 (2007) no. 3, p. 41-56 / Harvested from Project Euclid
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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.
Publié le : 2007-01-15
Classification:  13B10,  13A18,  13F30,  14E05 
@article{1258735323,
     author = {Cutkosky, Steven Dale and Srinivasan, Hema},
     title = {Factorizations of birational extensions of local rings},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 41-56},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258735323}
}

Cutkosky, Steven Dale; Srinivasan, Hema. Factorizations of birational extensions of local rings. Illinois J. Math., Tome 51 (2007) no. 3, pp.  41-56. http://gdmltest.u-ga.fr/item/1258735323/