01035nam0 22002771i 450 UON0016050520231205103005.97678-00-61825-020020611d1993 |0itac50 bachiCN|||| 1||||Shufa lilun yu shufa baijiaDong YouzhiBeijingTuanjie Chubanshe1993651 p.22 cmCALLIGRAFIA CINESESTORIAUONC000668FICNBeijingUONL000457CIN IX JCINA - ARTI - ARTI GRAFICHE - CALLIGRAFIA - ARTI DELLA STAMPAADONG YouzhiUONV094872674312Tuanjie ChubansheUONV265171650ITSOL20240220RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00160505SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI CIN IX J 023 SI SA 105226 7 023 Shufa lilun yu shufa baijia1284323UNIOR03509nam 22005415 450 991054484660332120240215145033.09783030895402(electronic bk.)978303089539610.1007/978-3-030-89540-2(MiAaPQ)EBC6886997(Au-PeEL)EBL6886997(CKB)21167559800041(DE-He213)978-3-030-89540-2(PPN)260825557(EXLCZ)992116755980004120220210d2021 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierRelative Nonhomogeneous Koszul Duality /by Leonid Positselski1st ed. 2021.Cham :Springer International Publishing :Imprint: Birkhäuser,2021.1 online resource (303 pages)Frontiers in Mathematics,1660-8054Print version: Positselski, Leonid Relative Nonhomogeneous Koszul Duality Cham : Springer International Publishing AG,c2022 9783030895396 Includes bibliographical references.Preface -- Prologue -- Introduction -- Homogeneous Quadratic Duality over a Base Ring -- Flat and Finitely Projective Koszulity -- Relative Nonhomogeneous Quadratic Duality -- The Poincare-Birkhoff-Witt Theorem -- Comodules and Contramodules over Graded Rings -- Relative Nonhomogeneous Derived Koszul Duality: the Comodule Side -- Relative Nonhomogeneous Derived Koszul Duality: the Contramodule Side -- The Co-Contra Correspondence -- Koszul Duality and Conversion Functor -- Examples -- References.This research monograph develops the theory of relative nonhomogeneous Koszul duality. Koszul duality is a fundamental phenomenon in homological algebra and related areas of mathematics, such as algebraic topology, algebraic geometry, and representation theory. Koszul duality is a popular subject of contemporary research. This book, written by one of the world's leading experts in the area, includes the homogeneous and nonhomogeneous quadratic duality theory over a nonsemisimple, noncommutative base ring, the Poincare–Birkhoff–Witt theorem generalized to this context, and triangulated equivalences between suitable exotic derived categories of modules, curved DG comodules, and curved DG contramodules. The thematic example, meaning the classical duality between the ring of differential operators and the de Rham DG algebra of differential forms, involves some of the most important objects of study in the contemporary algebraic and differential geometry. For the first time in the history of Koszul duality the derived D-\Omega duality is included into a general framework. Examples highly relevant for algebraic and differential geometry are discussed in detail.Frontiers in Mathematics,1660-8054Algebra, HomologicalCategory Theory, Homological AlgebraTeoria de la dualitat (Matemàtica)thubLlibres electrònicsthubAlgebra, Homological.Category Theory, Homological Algebra.Teoria de la dualitat (Matemàtica)515.782512.46Positselski Leonid1973-499475MiAaPQMiAaPQMiAaPQ9910544846603321Relative Nonhomogeneous Koszul Duality2644851UNINA