02730nam 22005535 450 991048477880332120200827184308.03-030-52640-210.1007/978-3-030-52640-5(CKB)4100000011401157(MiAaPQ)EBC6320903(DE-He213)978-3-030-52640-5(PPN)250214636(EXLCZ)99410000001140115720200827d2020 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierDesingularization: Invariants and Strategy Application to Dimension 2 /by Vincent Cossart, Uwe Jannsen, Shuji Saito1st ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (258 pages) illustrationsLecture Notes in Mathematics,0075-8434 ;22703-030-52639-9 Includes bibliographical references and index.This book provides a rigorous and self-contained review of desingularization theory. Focusing on arbitrary dimensional schemes, it discusses the important concepts in full generality, complete with proofs, and includes an introduction to the basis of Hironaka’s Theory. The core of the book is a complete proof of desingularization of surfaces; despite being well-known, this result was no more than folklore for many years, with no existing references. Throughout the book there are numerous computations on standard bases, blowing ups and characteristic polyhedra, which will be a source of inspiration for experts exploring bigger dimensions. Beginners will also benefit from a section which presents some easily overlooked pathologies.Lecture Notes in Mathematics,0075-8434 ;2270AlgebraAlgebraic geometryAlgebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11000Algebraic Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11019Algebra.Algebraic geometry.Algebra.Algebraic Geometry.514.746514.746Cossart Vincentauthttp://id.loc.gov/vocabulary/relators/aut54682Jannsen Uweauthttp://id.loc.gov/vocabulary/relators/autSaito Shujiauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910484778803321Desingularization: Invariants and Strategy1936232UNINA