Titlebook: Complex Analytic Desingularization; José Manuel Aroca,Heisuke Hironaka,José Luis Vicen Book 2018 Springer Japan KK, part of Springer Natur

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Epilogue: Singularities of Differential Equations,The problem of resolution of singularities of an algebraic or analytic variety is, at least in its local formulation, close related with another problem, the parametrization of a neighborhood of a point on the variety, i.e. the problem of finding a solution, in some sense, of the system of equations defining the variety.

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Springer Japan KK, part of Springer Nature 2018

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Complex-Analytic Spaces and Elements,ity (called the structure sheaf). Given two ringed spaces . and ., a . between them is a pair (., .), where . is a continuous map from . to . and . is an .-homomorphism from . to ., i.e., a collection of ring homomorphisms (mapping unity to unity) ., one for each open subset . of ., such that for every . the diagram

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Complex-Analytic Spaces and Elements,ity (called the structure sheaf). Given two ringed spaces . and ., a . between them is a pair (., .), where . is a continuous map from . to . and . is an .-homomorphism from . to ., i.e., a collection of ring homomorphisms (mapping unity to unity) ., one for each open subset . of ., such that for ev

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The Weierstrass Preparation Theorem and Its Consequences,on, to consider a specific isomorphism ., where . is an open neighborhood of . in ., .  is an open neighborhood of . in some ., and . is the sheaf of holomorphic functions on .  such that .(.) = .. If . is any holomorphic function on the open subset . .⊂ . , we denote again by . the pull-back functi

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