Titlebook: Resolution of Singularities; A research textbook Herwig Hauser,Joseph Lipman,Adolfo Quirós Textbook 2000 Springer Basel AG 2000 Algebraisc

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the simplest possible introduction to fundamentals of modem geometry: curvature, group actions, and covering spaces. 2. The prerequisites are modest and standard. A little linear algebra (mostly 2 x 2 matrices), calculus as far as hyperbolic functions, ba- sic group theory (subgroups and cosets), an

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Herwig Hauseres" introduced here, which makes it possible to "see" the set of all possible voters‘ preferences leading to specified election outcomes. Thus, it now is possible to visually compare the likelihood of various conclusions. Also, geometry is applied to apportionment methods to uncover new explanations

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978-3-0348-9550-7Springer Basel AG 2000

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Progress in Mathematicshttp://image.papertrans.cn/r/image/828492.jpg

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https://doi.org/10.1007/978-3-0348-8399-3Algebraische Topologie; Differentialgeometrie; Morphism; equation; geometry; linear optimization; moduli s

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A Course on Constructive Desingularization and Equivariance... We focus on canonical properties of this desingularization such as compatibility with change of base field and that of equivariance, namely the lifting of any group action on . to an action on the desingularization defined by this procedure.

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Excellent Surfaces and Their Taut Resolutiondded in three-space and defined over an algebraically closed field of arbitrary characteristic. The proof of strong embedded resolution we describe here combines arguments and techniques of O. Zariski, H. Hironaka, S. Abhyankar and the author.