Abstract
We discuss our recent proof of monomialization of extensions of algebraic local rings in possibly transcendental extensions of algebraic functions fields of characteristic 0. We also present some applications of this theory. We discuss our generalization of the classical theory of ramification of local Dedekind domains to general valuations, which is joint work with Olivier Piltant.
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Cutkosky, S.D. (2003). Monomialization and Ramification of Valuations. In: Herzog, J., Vuletescu, V. (eds) Commutative Algebra, Singularities and Computer Algebra. NATO Science Series, vol 115. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1092-4_5
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DOI: https://doi.org/10.1007/978-94-007-1092-4_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-1487-1
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