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- W1554795466 abstract "In this paper, a geometric resolution of singularities algorithm is developed. This method is elementary in its statement and proof, using explicit coordinate systems as much as possible. Each coordinate change used in the resolution procedure is one-to-one on its domain, and is of one of a few explicit canonical forms. As applications of these methods to classical analysis, two theorems are proven. First and foremost, a general theorem regarding the existence of critical integrability exponents is established. Secondly, a new proof of a well-known inequality of Lojasiewicz is given." @default.
- W1554795466 created "2016-06-24" @default.
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- W1554795466 date "2006-09-07" @default.
- W1554795466 modified "2023-09-27" @default.
- W1554795466 title "A Coordinate-Dependent Local Resolution of Singularities with Applications" @default.
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