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010   $a3-030-52640-2
024 7 $a10.1007/978-3-030-52640-5
035   $a(CKB)4100000011401157
035   $a(MiAaPQ)EBC6320903
035   $a(DE-He213)978-3-030-52640-5
035   $a(PPN)250214636
035   $a(MiAaPQ)EBC6320744
035   $a(EXLCZ)994100000011401157
100   $a20200827d2020      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aDesingularization: Invariants and Strategy $eApplication to Dimension 2 /$fby Vincent Cossart, Uwe Jannsen, Shuji Saito
205   $a1st ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020.
215   $a1 online resource (258 pages) $cillustrations
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2270
311 08$a3-030-52639-9 
320   $aIncludes bibliographical references and index.
330   $aThis book provides a rigorous and self-contained review of desingularization theory. Focusing on arbitrary dimensional schemes, it discusses the important concepts in full generality, complete with proofs, and includes an introduction to the basis of Hironaka?s Theory. The core of the book is a complete proof of desingularization of surfaces; despite being well-known, this result was no more than folklore for many years, with no existing references. Throughout the book there are numerous computations on standard bases, blowing ups and characteristic polyhedra, which will be a source of inspiration for experts exploring bigger dimensions. Beginners will also benefit from a section which presents some easily overlooked pathologies.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v2270
606   $aAlgebra
606   $aGeometry, Algebraic
606   $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000
606   $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019
615  0$aAlgebra.
615  0$aGeometry, Algebraic.
615 14$aAlgebra.
615 24$aAlgebraic Geometry.
676   $a514.746
676   $a514.746
700   $aCossart$b Vincent$4aut$4http://id.loc.gov/vocabulary/relators/aut$054682
702   $aJannsen$b Uwe$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aSaito$b Shuji$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910484778803321
996   $aDesingularization: Invariants and Strategy$91936232
997   $aUNINA