LEADER 04315nam 22007815 450 001 996466494003316 005 20200704075145.0 010 $a3-642-05205-3 024 7 $a10.1007/978-3-642-05205-7 035 $a(CKB)1000000000804406 035 $a(SSID)ssj0000372695 035 $a(PQKBManifestationID)11275434 035 $a(PQKBTitleCode)TC0000372695 035 $a(PQKBWorkID)10422920 035 $a(PQKB)10066846 035 $a(DE-He213)978-3-642-05205-7 035 $a(MiAaPQ)EBC3064908 035 $a(PPN)139962417 035 $a(EXLCZ)991000000000804406 100 $a20100301d2009 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aVector fields on Singular Varieties$b[electronic resource] /$fby Jean-Paul Brasselet, José Seade, Tatsuo Suwa 205 $a1st ed. 2009. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2009. 215 $a1 online resource (XX, 232 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1987 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-05204-5 320 $aIncludes bibliographical references and index. 327 $aThe Case of Manifolds -- The Schwartz Index -- The GSV Index -- Indices of Vector Fields on Real Analytic Varieties -- The Virtual Index -- The Case of Holomorphic Vector Fields -- The Homological Index and Algebraic Formulas -- The Local Euler Obstruction -- Indices for 1-Forms -- The Schwartz Classes -- The Virtual Classes -- Milnor Number and Milnor Classes -- Characteristic Classes of Coherent Sheaves on Singular Varieties. 330 $aVector fields on manifolds play a major role in mathematics and other sciences. In particular, the Poincaré-Hopf index theorem gives rise to the theory of Chern classes, key manifold-invariants in geometry and topology. It is natural to ask what is the ?good? notion of the index of a vector field, and of Chern classes, if the underlying space becomes singular. The question has been explored by several authors resulting in various answers, starting with the pioneering work of M.-H. Schwartz and R. MacPherson. We present these notions in the framework of the obstruction theory and the Chern-Weil theory. The interplay between these two methods is one of the main features of the monograph. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1987 606 $aFunctions of complex variables 606 $aDynamics 606 $aErgodic theory 606 $aManifolds (Mathematics) 606 $aComplex manifolds 606 $aGlobal analysis (Mathematics) 606 $aAlgebraic geometry 606 $aSeveral Complex Variables and Analytic Spaces$3https://scigraph.springernature.com/ontologies/product-market-codes/M12198 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aManifolds and Cell Complexes (incl. Diff.Topology)$3https://scigraph.springernature.com/ontologies/product-market-codes/M28027 606 $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 615 0$aFunctions of complex variables. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aManifolds (Mathematics). 615 0$aComplex manifolds. 615 0$aGlobal analysis (Mathematics). 615 0$aAlgebraic geometry. 615 14$aSeveral Complex Variables and Analytic Spaces. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aManifolds and Cell Complexes (incl. Diff.Topology). 615 24$aGlobal Analysis and Analysis on Manifolds. 615 24$aAlgebraic Geometry. 676 $a515.94 700 $aBrasselet$b Jean-Paul$4aut$4http://id.loc.gov/vocabulary/relators/aut$060570 702 $aSeade$b José$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSuwa$b Tatsuo$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a996466494003316 996 $aVector fields on Singular Varieties$92831000 997 $aUNISA LEADER 01177nam a22002891i 4500 001 991001076679707536 005 20040220111945.0 008 040318s1985 it |||||||||||||||||ita 020 $a8814004625 035 $ab12714471-39ule_inst 035 $aARCHE-069873$9ExL 040 $aDip.to Filosofia$bita$cA.t.i. Arché s.c.r.l. Pandora Sicilia s.r.l. 082 04$a348.4502 110 1 $aItalia$0423419 245 10$aCodice di procedura civile e leggi complementari :$bcon il commento della giurisprudenza della Cassazione /$cM. Battaglini, T. Novelli 250 $a7. ed. aggiornata con la giurisprudenza al 31 luglio 1984 e con la legislazione al 31 dicembre 1984 260 $aMilano :$bGiuffrè,$c1985 300 $aXII, 2879 p. ;$c20 cm 650 4$aCodice di procedura civile$zItalia 700 1 $aBattaglini, Mario 700 1 $aNovelli, Tommaso 907 $a.b12714471$b02-04-14$c31-03-04 912 $a991001076679707536 945 $aLE005 DIR IV A 8$g1$i2005000154577$lle005$o-$pE0.00$q-$rl$s- $t0$u0$v0$w0$x0$y.i13238231$z31-03-04 996 $aCodice di procedura civile$937316 997 $aUNISALENTO 998 $ale005$b31-03-04$cm$da $e-$fita$git $h0$i1 LEADER 03424nam 22007095 450 001 9910743342203321 005 20251229075131.0 010 $a981-16-7818-9 010 $a981-16-7817-0 010 $a981-16-7818-9 024 7 $a10.1007/978-981-16-7818-9 035 $a(MiAaPQ)EBC6882496 035 $a(Au-PeEL)EBL6882496 035 $a(CKB)21069312500041 035 $a(PPN)260828076 035 $a(BIP)83139637 035 $a(BIP)81903193 035 $a(DE-He213)978-981-16-7818-9 035 $a(EXLCZ)9921069312500041 100 $a20220202d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAchieving $5 Trillion Economy of India $eProceedings of 11th Annual International Research Conference of Symbiosis Institute of Management Studies /$fedited by Arti Chandani, Rajiv Divekar, J. K. Nayak 205 $a1st ed. 2022. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2022. 215 $a1 online resource (385 pages) 225 1 $aSpringer Proceedings in Business and Economics,$x2198-7254 311 08$aPrint version: Chandani, Arti Achieving Trillion Economy of India Singapore : Springer Singapore Pte. Limited,c2022 9789811678172 330 $aThe contents of this volume focuses on the economic issues such as income inequality, foreign direct investment, world income classification, business issues such as customer churn analysis, internal branding, human resources issues among others. The papers were presented during the 11th Annual Research Conference of Symbiosis Institute of Management Studies (SIMSARC2020). The book also focuses on the information technology and its application for the business in the form of social media, role of artificial intelligence etc. The contents of the volume are highly relevant, consisting of recent data and results, and based on strong research and statistical analysis. They widely cover the business, society and environmental issues faced in the present times, and the challenges faced by India to reach its goal of a trillion dollar economy. The papers not only discuss the issues but also come up with research based solutions and will be of interest to scholars, corporates, policy makers, and academics alike. 410 0$aSpringer Proceedings in Business and Economics,$x2198-7254 606 $aStrategic planning 606 $aLeadership 606 $aEconomic development 606 $aBusiness information services 606 $aInternational trade 606 $aBusiness Strategy and Leadership 606 $aEconomic Development, Innovation and Growth 606 $aIT in Business 606 $aInternational Trade 615 0$aStrategic planning. 615 0$aLeadership. 615 0$aEconomic development. 615 0$aBusiness information services. 615 0$aInternational trade. 615 14$aBusiness Strategy and Leadership. 615 24$aEconomic Development, Innovation and Growth. 615 24$aIT in Business. 615 24$aInternational Trade. 676 $a994.230049915 702 $aDivekar$b Rajiv 702 $aNayak$b J. K. 702 $aChandani$b Arti 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910743342203321 996 $aAchieving$93559939 997 $aUNINA