LEADER 05342nam 2200529 450 001 996466563603316 005 20231110224406.0 010 $a3-030-76705-1 035 $a(MiAaPQ)EBC6820592 035 $a(Au-PeEL)EBL6820592 035 $a(CKB)19968512200041 035 $a(PPN)269153306 035 $a(EXLCZ)9919968512200041 100 $a20220825d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHolomorphic foliations with singularities $ekey concepts and modern results /$fBruno Sca?rdua 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$d©2021 215 $a1 online resource (172 pages) 225 1 $aLatin American Mathematics 311 08$aPrint version: Scárdua, Bruno Holomorphic Foliations with Singularities Cham : Springer International Publishing AG,c2022 9783030767044 320 $aIncludes bibliographical references and index. 327 $aIntro -- Preface -- Contents -- 1 The Classical Notions of Foliations -- 1.1 Definition of Foliation -- 1.2 Other Definitions of Foliation -- 1.3 Frobenius Theorem -- 1.4 Holonomy -- 1.5 Exercises -- 2 Some Results from Several Complex Variables -- 2.1 Some Extension Theorems from Several Complex Variables -- 2.2 Levi's Global Extension Theorem -- 2.3 Exercises -- 3 Holomorphic Foliations: Non-singular Case -- 3.1 Basic Concepts -- 3.2 Examples -- 3.3 The Identity Principle for Holomorphic Foliations -- 3.4 Exercises -- 4 Holomorphic Foliations with Singularities -- 4.1 Linear Vector Fields on the Plane -- 4.2 One-Dimensional Foliations with Isolated Singularities -- 4.3 Differential Forms and Vector Fields -- 4.4 Codimension One Foliations with Singularities -- 4.5 Analytic Leaves -- 4.6 Two Extension Lemmas for Holomorphic Foliations -- 4.7 Kupka Singularities and Simple Singularities -- 4.8 Exercises -- 5 Holomorphic Foliations Given by Closed 1-Forms -- 5.1 Foliations Given by Closed Holomorphic 1-Forms -- 5.1.1 Holonomy of Foliations Defined by Closed Holomorphic 1-Forms -- 5.2 Foliations Given by Closed Meromorphic 1-Forms -- 5.2.1 Holonomy of Foliations Defined by Closed meromorphic 1-Forms -- 5.3 Exercises -- 6 Reduction of Singularities -- 6.1 Irreducible Singularities -- 6.2 Poincaré and Poincaré-Dulac Normal Forms -- 6.3 Blow-up at the Origin (Quadratic Blow-up) -- 6.4 Blow-up on Surfaces -- 6.4.1 Resolution of Curves -- 6.5 Blow-up of a Singular Point of a Foliation -- 6.6 Irreducible Singularities -- 6.7 Separatrices: Dicriticalness and Existence -- 6.8 Holonomy and Analytic Classification -- 6.8.1 Holonomy of Irreducible Singularities -- 6.8.2 Holonomy and Analytic Classification of Irreducible Singularities -- 6.9 Examples -- 6.10 Exercises -- 7 Holomorphic First Integrals -- 7.1 Mattei-Moussu Theorem. 327 $a7.2 Groups of Germs of Holomorphic Diffeomorphisms -- 7.3 Irreducible Singularities -- 7.4 The Case of a Single Blow-up -- 7.5 The General Case -- 7.6 Exercises -- 8 Dynamics of a Local Diffeomorphism -- 8.1 Hyperbolic Case -- 8.2 Parabolic Case -- 8.3 Elliptic Case -- 8.4 Exercises -- 9 Foliations on Complex Projective Spaces -- 9.1 The Complex Projective Plane and Foliations -- 9.2 The Theorem of Darboux-Jouanolou -- 9.3 Foliations Given by Closed 1-Forms -- 9.4 Riccati Foliations -- 9.5 Examples of Foliations on C P(2) -- 9.6 Example of an Action of a Low-dimensional Lie Algebra -- 9.7 A Family of Foliations on C P(3) Not Coming from Plane Foliations -- 9.8 Exercises -- 10 Foliations with Algebraic Limit Sets -- 10.1 Limit Sets of Foliations -- 10.2 Groups of Germs of Diffeomorphisms with Finite Limit Set -- 10.3 Virtual Holonomy Groups -- 10.4 Construction of Closed Meromorphic Forms -- 10.5 The Linearization Theorem -- 10.6 Examples -- 10.7 Exercises -- 11 Some Modern Questions -- 11.1 Holomorphic Flows on Stein Spaces -- 11.1.1 Suzuki's Theory -- 11.1.2 Proof of the Global Linearization Theorem -- 11.2 Real Transverse Sections of Holomorphic Foliations -- 11.3 Non-trivial Minimal Sets of Holomorphic Foliations -- 11.4 Transversely Homogeneous Holomorphic Foliations -- 11.4.1 Transversely Lie Foliations -- 11.5 Transversely Affine Foliations -- 11.6 Transversely Projective Foliations -- 11.6.1 Development of a Transversely Projective Foliation-Touzet's Work -- 11.6.2 Projective Structures and Differential Forms -- Proof of Proposition 11.6.5 -- Classification of Projective Foliations: Moderate Growth on Projective Manifolds -- 12 Miscellaneous Exercises and Some Open Questions -- 12.1 Miscellaneous Exercises -- 12.2 Some Open Questions -- Bibliography -- Index. 410 0$aLatin American Mathematics 606 $aFoliations (Mathematics) 606 $aDomains of holomorphy 606 $aAlgebraic topology 606 $aFoliacions (Matemàtica)$2thub 608 $aLlibres electrònics$2thub 615 0$aFoliations (Mathematics) 615 0$aDomains of holomorphy. 615 0$aAlgebraic topology. 615 7$aFoliacions (Matemàtica) 676 $a514.72 700 $aSca?rdua$b Bruno$01069092 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466563603316 996 $aHolomorphic Foliations with Singularities$92554619 997 $aUNISA LEADER 04460nam 22007692 450 001 9910784312303321 005 20151005020621.0 010 $a1-107-16103-7 010 $a1-280-54113-X 010 $a0-511-21541-X 010 $a0-511-21720-X 010 $a0-511-21183-X 010 $a0-511-31581-3 010 $a0-511-61710-0 010 $a0-511-21360-3 035 $a(CKB)1000000000353101 035 $a(EBL)266609 035 $a(OCoLC)171139149 035 $a(SSID)ssj0000223438 035 $a(PQKBManifestationID)11187187 035 $a(PQKBTitleCode)TC0000223438 035 $a(PQKBWorkID)10177615 035 $a(PQKB)10088796 035 $a(UkCbUP)CR9780511617102 035 $a(Au-PeEL)EBL266609 035 $a(CaPaEBR)ebr10131651 035 $a(CaONFJC)MIL54113 035 $a(MiAaPQ)EBC266609 035 $a(EXLCZ)991000000000353101 100 $a20090915d2004|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPolitical disagreement $ethe survival of diverse opinions within communication networks /$fRobert Huckfeldt, Paul E. Johnson and John Sprague$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2004. 215 $a1 online resource (xxi, 249 pages) $cdigital, PDF file(s) 225 1 $aCambridge studies in public opinion and political psychology 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-54223-5 311 $a0-521-83430-9 320 $aIncludes bibliographical references (p. 235-245) and index. 327 $aCover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Figures; Tables; Acknowledgments; 1 Communication, Influence, and the Capacity of Citizens to Disagree; 2 New Information, Old Information, and Persistent Disagreement; 3 Dyads, Networks, and Autoregressive Influence; 4 Disagreement, Heterogeneity, and the Effectiveness of Political Communication; 5 Disagreement, Heterogeneity, and Persuasion: How Does Disagreement Survive?; 6 Agent-Based Explanations, Patterns of Communication, and the Inevitability of Homogeneity 327 $a7 Agent-Based Explanations, Autoregressive Influence, and the Survival of Disagreement8 Heterogeneous Networks and Citizen Capacity: Disagreement, Ambivalence, and Engagement; 9 Summary, Implications, and Conclusion; Appendix A The Indianapolis-St. Louis Study; Appendix B The Opinion Simulation Software; References; Index 330 $aPolitical disagreement is widespread within the communication network of ordinary citizens; furthermore, political diversity within these networks is entirely consistent with a theory of democratic politics built on the importance of individual interdependence. The persistence of political diversity and disagreement does not imply that political interdependence is absent among citizens or that political influence is lacking. The book's analysis makes a number of contributions. The authors demonstrate the ubiquitous nature of political disagreement. They show that communication and influence within dyads is autoregressive - that the consequences of dyadic interactions depend on the distribution of opinions within larger networks of communication. They argue that the autoregressive nature of political influence serves to sustain disagreement within patterns of social interaction, as it restores the broader political relevance of social communication and influence. They eliminate the deterministic implications that have typically been connected to theories of democratic politics based on interdependent citizens. 410 0$aCambridge studies in public opinion and political psychology. 606 $aCommunication in politics 606 $aPolitical participation 606 $aConsensus (Social sciences) 606 $aPublic opinion 606 $aDemocracy 615 0$aCommunication in politics. 615 0$aPolitical participation. 615 0$aConsensus (Social sciences) 615 0$aPublic opinion. 615 0$aDemocracy. 676 $a320/.01/4 700 $aHuckfeldt$b R. Robert$0121310 702 $aJohnson$b P. E$g(Paul E.), 702 $aSprague$b John D. 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910784312303321 996 $aPolitical disagreement$93713547 997 $aUNINA LEADER 02839nam 2200661 a 450 001 9910220106503321 005 20200520144314.0 010 $a1-281-18097-1 010 $a9786611180973 010 $a0-8330-4255-6 035 $a(CKB)1000000000481451 035 $a(EBL)322540 035 $a(OCoLC)476119953 035 $a(SSID)ssj0000240316 035 $a(PQKBManifestationID)11220921 035 $a(PQKBTitleCode)TC0000240316 035 $a(PQKBWorkID)10265374 035 $a(PQKB)10155524 035 $a(Au-PeEL)EBL322540 035 $a(CaPaEBR)ebr10225472 035 $a(OCoLC)290604909 035 $a(MiAaPQ)EBC322540 035 $a(oapen)doab114659 035 $a(EXLCZ)991000000000481451 100 $a20060918d2006 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRussia's economy $esigns of progress and retreat on the transitional road /$fCharles Wolf, Jr., Thomas Lang 205 $a1st ed. 210 $aSanta Monica, CA $cRAND$d2006 215 $a1 online resource (73 p.) 225 1 $aRand Corporation Monograph, v.515 300 $a"MG-515-OSD." 300 $a"Prepared for the Office of the Secretary of Defense." 311 08$a0-8330-3976-8 320 $aIncludes bibliographical references (p. 53-54). 327 $aIntroduction. Transitional economies ; This report -- The macroeconomy -- Oil and natural gas : prices, production, and exports -- Markets and reform -- International transactions -- Russian military spending -- Conclusions and implications. 330 $aThe good news and the bad news about the Russian economy's movement toward becoming a market economy are both abundant; however, the Russian economy can still-16 years after the Soviet Union's demise-be appropriately characterized as transitional. It is the second largest of the economies considered to be transitional (China is the largest), but its position on the broad spectrum of transitional economies is not entirely clear, and neither are the pace and direction of its movement. The authors shed light on ambiguities surrounding Russia's status as a transitional economy by attempting to ans 410 0$aRand Corporation Monograph, v.515 606 $aWarfare and defence$2bicssc 607 $aRussia (Federation)$xEconomic conditions$y1991- 607 $aRussia (Federation)$xEconomic policy$y1991- 610 $aPolitical Science 615 7$aWarfare and defence 676 $a330.947 700 $aWolf$b Charles$f1924-$0125219 701 $aLang$b Thomas$f1975-$0915597 712 02$aUnited States.$bDepartment of Defense. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910220106503321 996 $aRussia's economy$92052518 997 $aUNINA