LEADER 03157oam 2200517 450 001 996418185103316 005 20210416151347.0 010 $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 $a20210416d2020 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aHandbook of geometry and topology of singularities I /$fJosé Luis Cisneros Molina, Dung Tráng Lê and José Seade (editors) 205 $a1st ed. 2020. 210 1$aCham, Switzerland :$cSpringer,$d[2020] 210 4$d©2020 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 $aGeometry, Algebraic 606 $aTopological Groups, Lie Groups 606 $aSeveral Complex Variables and Analytic Spaces 615 0$aGeometry, Algebraic. 615 0$aTopological Groups, Lie Groups. 615 0$aSeveral Complex Variables and Analytic Spaces. 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 $a996418185103316 996 $aHandbook of geometry and topology of singularities I$92547517 997 $aUNISA