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Monomialization of Morphisms from 3-Folds to Surfaces
Language: en
Pages: 245
Authors: Steven D. Cutkosky
Categories: Mathematics
Type: BOOK - Published: 2004-10-13 - Publisher: Springer

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A morphism of algebraic varieties (over a field characteristic 0) is monomial if it can locally be represented in e'tale neighborhoods by a pure monomial mappin
Toroidalization of Dominant Morphisms of 3-Folds
Language: en
Pages: 234
Authors: Steven Dale Cutkosky
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

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This book contains a proof that a dominant morphism from a 3-fold $X$ to a variety $Y$ can be made toroidal by blowing up in the target and domain. We give appl
Valuation Theory and Its Applications
Language: en
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Authors: Franz-Viktor Kuhlmann
Categories: Mathematics
Type: BOOK - Published: 2002-01-01 - Publisher: American Mathematical Soc.

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This book is the first of two proceedings volumes stemming from the International Conference and Workshop on Valuation Theory held at the University of Saskatch
Commutative Algebra, Singularities and Computer Algebra
Language: en
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Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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Proceedings of the NATO Advanced Research Workshop, held in Sinaia, Romania, 17-22 September 2002
Resolution of Singularities
Language: en
Pages: 198
Authors: Steven Dale Cutkosky
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: American Mathematical Soc.

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The notion of singularity is basic to mathematics. In algebraic geometry, the resolution of singularities by simple algebraic mappings is truly a fundamental pr