Factorizations of birational extensions of local rings

Details Factorizations of birational extensions of local rings Factorizations of birational extensions of local rings

2006-01-16

arxiv.org/abs/math/0601393v1

Mathematics

Commutative Algebra

12 pages

Scientific paper

We give a proof of local strong factorization of a birational extension of
regular local rings (of equicharacteristic zero) along a valuation of rank 1
and maximal rational rank. This gives an alternate proof to the geometric proof
of this Theorem by Karu. Our proof uses only linear algebra, and is in the
spirit of Christensen's proof of this result in dimension 3.

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