001482307 000__ 04753cam\\2200601\i\4500 001482307 001__ 1482307 001482307 003__ OCoLC 001482307 005__ 20231128003330.0 001482307 006__ m\\\\\o\\d\\\\\\\\ 001482307 007__ cr\cn\nnnunnun 001482307 008__ 231010s2023\\\\sz\a\\\\ob\\\\001\0\eng\d 001482307 019__ $$a1402199887 001482307 020__ $$a9783031319259$$q(electronic bk.) 001482307 020__ $$a3031319257$$q(electronic bk.) 001482307 020__ $$z3031319249 001482307 020__ $$z9783031319242 001482307 0247_ $$a10.1007/978-3-031-31925-9$$2doi 001482307 035__ $$aSP(OCoLC)1402175791 001482307 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dN$T$$dOCLCO 001482307 049__ $$aISEA 001482307 050_4 $$aQA614.58 001482307 08204 $$a516.3/5$$223/eng/20231010 001482307 24500 $$aHandbook of geometry and topology of singularities IV /$$cJosé Luis Cisneros Molina, Lê Dũng Tráng, José Seade, editors. 001482307 264_1 $$aCham :$$bSpringer,$$c[2023] 001482307 264_4 $$c©2023 001482307 300__ $$a1 online resource (xx, 608 pages) :$$billustrations (some color). 001482307 336__ $$atext$$btxt$$2rdacontent 001482307 337__ $$acomputer$$bc$$2rdamedia 001482307 338__ $$aonline resource$$bcr$$2rdacarrier 001482307 504__ $$aIncludes bibliographical references and index. 001482307 5050_ $$a1 L Dng Trng and Bernard Teissier, Limits of tangents, Whitney stratifications and a Plcker type formula -- 2 Anne Frhbis-Krger and Matthias Zach, Determinantal singularities -- 3 Shihoko Ishii, Singularities, the space of arcs and applications to birational geometry -- 4 Hussein Mourtada, Jet schemes and their applications in singularities, toric resolutions and integer partitions -- 5 Wolfgang Ebeling and Sabir M. Gusein-Zade, Indices of vector fields and 1-forms -- 6 Shoji Yokura, Motivic Hirzebruch class and related topics -- 7 Guillaume Valette, Regular vectors and bi-Lipschitz trivial stratifications in o-minimal structures -- 8 Lev Birbrair and Andrei Gabrielov, Lipschitz Geometry of Real Semialgebraic Surfaces -- 9 Alexandre Fernandes and Jos Edson Sampaio, Bi-Lipschitz invariance of the multiplicity -- 10 Lorenzo Fantini and Anne Pichon, On Lipschitz Normally Embedded singularities -- 11 Ana Bravo and Santiago Encinas, Hilbert-Samuel multiplicity and finite projections -- 12 Francisco J. Castro-Jimnez, David Mond and Luis Narvez-Macarro, Logarithmic Comparison Theorems. 001482307 506__ $$aAccess limited to authorized users. 001482307 520__ $$aThis is the fourth volume of the Handbook of Geometry and Topology of Singularities, a series that 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. This volume consists of twelve chapters which provide an in-depth and reader-friendly survey of various important aspects of singularity theory. Some of these complement topics previously explored in volumes I to III. Amongst the topics studied in this volume are the Nash blow up, the space of arcs in algebraic varieties, determinantal singularities, Lipschitz geometry, indices of vector fields and 1-forms, motivic characteristic classes, Hilbert-Samuel multiplicity and comparison theorems that spring from the classical De Rham complex. Singularities are ubiquitous in mathematics and science in general. Singularity theory is a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other subjects. 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. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook. 001482307 588__ $$aDescription based on print version record. 001482307 650_6 $$aSingularités (Mathématiques) 001482307 650_6 $$aGéométrie algébrique. 001482307 650_6 $$aGroupes topologiques. 001482307 650_0 $$aSingularities (Mathematics) 001482307 650_0 $$aGeometry, Algebraic.$$0(DLC)sh 85054140 001482307 650_0 $$aTopological groups. 001482307 655_0 $$aElectronic books. 001482307 7001_ $$aCisneros Molina, José Luis,$$eeditor. 001482307 7001_ $$aLê, Dũng Tráng,$$eeditor. 001482307 7001_ $$aSeade, J.$$q(José),$$eeditor. 001482307 77608 $$iPrint version:$$tHANDBOOK OF GEOMETRY AND TOPOLOGY OF SINGULARITIES IV.$$d[Place of publication not identified] : SPRINGER INTERNATIONAL PU, 2023$$z3031319249$$w(OCoLC)1374241548 001482307 852__ $$bebk 001482307 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-31925-9$$zOnline Access$$91397441.1 001482307 909CO $$ooai:library.usi.edu:1482307$$pGLOBAL_SET 001482307 980__ $$aBIB 001482307 980__ $$aEBOOK 001482307 982__ $$aEbook 001482307 983__ $$aOnline 001482307 994__ $$a92$$bISE