04243oam 2201033M 450 991015786050332120230120110431.03-319-46209-110.1007/978-3-319-46209-7(OCoLC)967720183(OCoLC)970383391(OCoLC)970614109(OCoLC)971057748(OCoLC)974363504(OCoLC)1005794715(OCoLC)1011902547(OCoLC)1026465081(OCoLC)1048157477(OCoLC)1049850068(OCoLC)1055408575(OCoLC)1058981377(OCoLC)1066693340(OCoLC)1086530182(OCoLC)1112560653(OCoLC)1116204020(OCoLC)1264832972(OCoLC)ocn967720183(MiAaPQ)EBC5610692(MiAaPQ)EBC6300698(PPN)197455107(CKB)3710000001006565(EXLCZ)99371000000100656520170106d2016 uy 0engur|n|||||||||txtrdacontentcrdamediacrrdacarrierRationality problems in algebraic geometry Levico Terme, Italy 2015 /Arnaud Beauville, Brendan Hassett, Alexander Kuznetsov, Alessandro Verra ; Rita Pardini, Gian Pietro Pirola, editorsCham, Switzerland Springer20161 online resourceLecture notes in mathematics,0075-8434 ;2172Print version: Rationality problems in algebraic geometry. Cham, Switzerland : Springer, 2016 9783319462080 3319462083 (OCoLC)957140723 Introduction.-Arnaud Beauville: The Lüroth problem.-Brendan Hassett: Cubic Fourfolds, K3 Surfaces, and Rationality Questions -- Alexander Kuznetsov: Derived categories view on rationality problems -- Alessandro Verra: Classical moduli spaces and Rationality -- Howard Nuer: Unirationality of Moduli Spaces of Special Cubic Fourfolds and K3 Surfaces.Providing an overview of the state of the art on rationality questions in algebraic geometry, this volume gives an update on the most recent developments. It offers a comprehensive introduction to this fascinating topic, and will certainly become an essential reference for anybody working in the field. Rationality problems are of fundamental importance both in algebra and algebraic geometry. Historically, rationality problems motivated significant developments in the theory of abelian integrals, Riemann surfaces and the Abel-Jacobi map, among other areas, and they have strong links with modern notions such as moduli spaces, Hodge theory, algebraic cycles and derived categories. This text is aimed at researchers and graduate students in algebraic geometry.Lecture notes in mathematics (Springer-Verlag) ;2172.Geometry, AlgebraicGéométrie algébriqueAlgebraic geometrybicsscMathematicsGeometryAlgebraicbisacshGeometry, Algebraicfast(OCoLC)fst00940902Geometry, Algebraic.Géométrie algébrique.Algebraic geometry.MathematicsGeometryAlgebraic.Geometry, Algebraic.516.3/5Pardini RitaPirola Gian PietroBeauville ArnaudHassett BrendanKuznetsov Alexander1973-Verra AlessandroYDXYDXGW5XEAZUESUUABJG0UPMOCLCFCOOOCLCQIOGGZMIADJBGICWILOICNOTZOCLCQVT2U3WREBCAUOIKSUUCWOCLCQUX0OCLCQWYUEBLCPOCLCQUKMGBERFOCLCQUKAHLNLWOCLCOBOOK9910157860503321Rationality problems in algebraic geometry1412560UNINA