LEADER 02731nam 22005415 450 001 996418256003316 005 20200827184308.0 010 $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(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$b[electronic resource] $eApplication to Dimension 2 /$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 $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 $aAlgebraic geometry 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$aAlgebraic geometry. 615 14$aAlgebra. 615 24$aAlgebraic Geometry. 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 $a996418256003316 996 $aDesingularization: Invariants and Strategy$91936232 997 $aUNISA