05219nam 22011895 450 991079085450332120230803220546.01-4008-5053-310.1515/9781400850532(CKB)2550000001165813(EBL)1561563(SSID)ssj0001062044(PQKBManifestationID)11669526(PQKBTitleCode)TC0001062044(PQKBWorkID)11109700(PQKB)11768308(StDuBDS)EDZ0000226204(DE-B1597)447654(OCoLC)864551391(OCoLC)979758910(DE-B1597)9781400850532(MiAaPQ)EBC1561563(EXLCZ)99255000000116581320190708d2014 fg 0engurun#---|u||utxtccrChow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187) /Claire VoisinCourse BookPrinceton, NJ :Princeton University Press,[2014]©20141 online resource (172 p.)Annals of Mathematics Studies ;211Description based upon print version of record.0-691-16050-3 1-306-16025-1 Includes bibliographical references and index.Front matter --Contents --Preface --Chapter One. Introduction --Chapter Two. Review of Hodge theory and algebraic cycles --Chapter Three. Decomposition of the diagonal --Chapter Four. Chow groups of large coniveau complete intersections --Chapter Five. On the Chow ring of K3 surfaces and hyper-Kähler manifolds --Chapter Six. Integral coefficients --Bibliography --IndexIn this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The volume is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch-Beilinson conjectures, but also examines recent work by Voisin. The book focuses on two central objects: the diagonal of a variety-and the partial Bloch-Srinivas type decompositions it may have depending on the size of Chow groups-as well as its small diagonal, which is the right object to consider in order to understand the ring structure on Chow groups and cohomology. An exploration of a sampling of recent works by Voisin looks at the relation, conjectured in general by Bloch and Beilinson, between the coniveau of general complete intersections and their Chow groups and a very particular property satisfied by the Chow ring of K3 surfaces and conjecturally by hyper-Kähler manifolds. In particular, the book delves into arguments originating in Nori's work that have been further developed by others.Annals of Mathematics StudiesAlgebraic varietiesDecomposition (Mathematics)Homology theoryMathematicsAlgebraic varietiesDecomposition (Mathematics)Homology theoryBloch-Beilinson conjectures.CalabiЙau hypersurfaces.Chow groups.Hodge classes.Hodge coniveau.Hodge structures.K3 surfaces.Lefschetz standard conjecture.Mumford's theorem.Z-coefficients.abelian varieties.birational invariants.cohomology.complex algebraic varieties.coniveau.cycle classes.decomposition isomorphism.decomposition.dense Zariski open set.diagonal.functoriality.generalized Bloch conjecture.generalized Hodge conjecture.geometric coniveau.hyper-Khler manifolds.integral coefficients.integral cohomological decomposition.mixed Hodge structures.projective space.rational equivalence.small diagonal.smooth projective varieties.spreading principle.torsion coefficients.transcendental cohomology.unramified cohomology.variety.Algebraic varieties.Decomposition (Mathematics).Homology theory.Mathematics.Algebraic varietiesDecomposition (Mathematics)Homology theory516.35SI 830rvkVoisin Claire350778DE-B1597DE-B1597BOOK9910790854503321Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187)3674412UNINA05534nam 22008055 450 99649035650331620231214145441.03-030-98636-510.1007/978-3-030-98636-0(CKB)5580000000382634(DE-He213)978-3-030-98636-0(MiAaPQ)EBC7083155(oapen)https://directory.doabooks.org/handle/20.500.12854/92450(PPN)264959337(Au-PeEL)EBL7083155(OCoLC)1344377046(EXLCZ)99558000000038263420240605d2022 uy 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierData Spaces Design, Deployment and Future Directions /edited by Edward Curry, Simon Scerri, Tuomo Tuikka1st ed. 2022.ChamSpringer Nature2022Cham :Springer International Publishing :Imprint: Springer,2022.1 online resource (XX, 357 p. 77 illus., 59 illus. in color.)3-030-98635-7 Data Spaces: Design, Deployment, and Future Directions -- Part I: Design -- An Organizational Maturity Model for Data Spaces: A Data Sharing Wheel Approach -- Data Platforms for Data Spaces -- Technological Perspective of Data Governance in Data Space Ecosystems -- Increasing Trust for Data Spaces with Federated Learning -- KRAKEN: A Secure, Trusted, Regulatory-Compliant, and Privacy-Preserving Data Sharing Platform -- Connecting Data Spaces and Data Marketplaces and the Progress Toward the European Single Digital Market with Open-Source Software -- AI-Based Hybrid Data Platforms -- Part II: Deployment -- A Digital Twin Platform for Industrie 4.0 -- A Framework for Big Data Sovereignty: The European Industrial Data Space (EIDS) -- Deploying a Scalable Big Data Platform to Enable a Food Safety Data Space -- Data Space Best Practices for Data Interoperability in FinTechs -- TIKD: A Trusted Integrated Knowledge Dataspace for Sensitive Data Sharing and Collaboration -- Toward an Energy Data Platform Design: Challenges and Perspectives from the SYNERGY Big Data Platform and AI Analytics Marketplace -- Part III: Future Directions -- Privacy-Preserving Techniques for Trustworthy Data Sharing: Opportunities and Challenges for Future Research -- Common European Data Spaces: Challenges and Opportunities.This open access book aims to educate data space designers to understand what is required to create a successful data space. It explores cutting-edge theory, technologies, methodologies, and best practices for data spaces for both industrial and personal data and provides the reader with a basis for understanding the design, deployment, and future directions of data spaces. The book captures the early lessons and experience in creating data spaces. It arranges these contributions into three parts covering design, deployment, and future directions respectively. The first part explores the design space of data spaces. The single chapters detail the organisational design for data spaces, data platforms, data governance federated learning, personal data sharing, data marketplaces, and hybrid artificial intelligence for data spaces. The second part describes the use of data spaces within real-world deployments. Its chapters are co-authored with industry experts and include case studies of data spaces in sectors including industry 4.0, food safety, FinTech, health care, and energy. The third and final part details future directions for data spaces, including challenges and opportunities for common European data spaces and privacy-preserving techniques for trustworthy data sharing. The book is of interest to two primary audiences: first, researchers interested in data management and data sharing, and second, practitioners and industry experts engaged in data-driven systems where the sharing and exchange of data within an ecosystem are critical.Database managementQuantitative researchApplication softwareComputer systemsData protectionDatabase ManagementData Analysis and Big DataComputer and Information Systems ApplicationsComputer System ImplementationData and Information SecurityData PlatformsData SpacesData SharingData LifecyclePlatform ArchitecturesData Life CycleRegulatory ComplianceDatabase management.Quantitative research.Application software.Computer systems.Data protection.Database Management.Data Analysis and Big Data.Computer and Information Systems Applications.Computer System Implementation.Data and Information Security.005.74Curry Edwardedt904514Curry Edwardedthttp://id.loc.gov/vocabulary/relators/edtScerri Simonedthttp://id.loc.gov/vocabulary/relators/edtTuikka Tuomoedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK996490356503316Data Spaces3011360UNISA