LEADER 03692nam 22006975 450 001 9910483211903321 005 20230728141754.0 010 $a3-030-53061-2 024 7 $a10.1007/978-3-030-53061-7 035 $a(CKB)4100000011526334 035 $a(MiAaPQ)EBC6381339 035 $a(DE-He213)978-3-030-53061-7 035 $a(PPN)269144366 035 $a(EXLCZ)994100000011526334 100 $a20201024d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHandbook of Geometry and Topology of Singularities I /$fedited by Jos Luis Cisneros Molina, D?ng Trng L, Jos Seade 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XVIII, 601 p. 128 illus., 54 illus. in color.) 300 $aIncludes index. 311 $a3-030-53060-4 327 $aForeword -- Preface -- 1 The Combinatorics of Plane Curve Singularities -- 2 The Topology of Surface Singularities -- 3 Resolution of Singularities: an Introduction -- 4 Stratification Theory -- 5 Morse Theory, Stratification and Sheaves -- 6 The Topology of the Milnor Fibration -- 7 Deformation and Smoothing of Singularities -- 8 Distinguished Bases and Monodromy of Complex Hypersurface Singularities -- 9 The Lefschetz Theorem for Hyperplane Sections -- 10 Finite Dimensional Lie Algebras in Singularities. -Index. 330 $aThis volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways. Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject. This is the first volume in a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook. 606 $aAlgebraic geometry 606 $aTopological groups 606 $aLie groups 606 $aFunctions of complex variables 606 $aProjective geometry 606 $aTopology 606 $aAlgebraic Geometry 606 $aTopological Groups and Lie Groups 606 $aSeveral Complex Variables and Analytic Spaces 606 $aProjective Geometry 606 $aTopology 615 0$aAlgebraic geometry. 615 0$aTopological groups. 615 0$aLie groups. 615 0$aFunctions of complex variables. 615 0$aProjective geometry. 615 0$aTopology. 615 14$aAlgebraic Geometry. 615 24$aTopological Groups and Lie Groups. 615 24$aSeveral Complex Variables and Analytic Spaces. 615 24$aProjective Geometry. 615 24$aTopology. 676 $a516.35 702 $aLê$b Dũng Tráng 702 $aSeade$b José 702 $aCisneros Molina$b José Luis 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bUtOrBLW 906 $aBOOK 912 $a9910483211903321 996 $aHandbook of geometry and topology of singularities I$92547517 997 $aUNINA