LEADER 04207oam 2201021M 450 001 996466764703316 005 20230120110431.0 010 $a3-319-46209-1 024 7 $a10.1007/978-3-319-46209-7 035 $a(OCoLC)967720183$z(OCoLC)970383391$z(OCoLC)970614109$z(OCoLC)971057748$z(OCoLC)974363504$z(OCoLC)1005794715$z(OCoLC)1011902547$z(OCoLC)1026465081$z(OCoLC)1048157477$z(OCoLC)1049850068$z(OCoLC)1055408575$z(OCoLC)1058981377$z(OCoLC)1066693340$z(OCoLC)1086530182$z(OCoLC)1112560653$z(OCoLC)1116204020$z(OCoLC)1264832972 035 $a(OCoLC)ocn967720183 035 $a(MiAaPQ)EBC5610692 035 $a(MiAaPQ)EBC6300698 035 $a(PPN)197455107 035 $a(EXLCZ)993710000001006565 100 $a20170106d2016 uy 0 101 0 $aeng 135 $aur|n||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aRationality problems in algebraic geometry $eLevico Terme, Italy 2015 /$fArnaud Beauville, Brendan Hassett, Alexander Kuznetsov, Alessandro Verra ; Rita Pardini, Gian Pietro Pirola, editors 210 $aCham, Switzerland $cSpringer$d2016 215 $a1 online resource 225 1 $aLecture notes in mathematics,$x0075-8434 ;$v2172 311 08$aPrint version: Rationality problems in algebraic geometry. Cham, Switzerland : Springer, 2016 9783319462080 3319462083 (OCoLC)957140723 327 $aIntroduction.-Arnaud Beauville: The Lu?roth 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. 330 $aProviding an overview of the state of the art on rationality questions in algebraic geometry, this volume gives an update on the most recent developments. It offers a comprehensive introduction to this fascinating topic, and will certainly become an essential reference for anybody working in the field. Rationality problems are of fundamental importance both in algebra and algebraic geometry. Historically, rationality problems motivated significant developments in the theory of abelian integrals, Riemann surfaces and the Abel-Jacobi map, among other areas, and they have strong links with modern notions such as moduli spaces, Hodge theory, algebraic cycles and derived categories. This text is aimed at researchers and graduate students in algebraic geometry. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v2172. 606 $aGeometry, Algebraic 606 $aGe?ome?trie alge?brique 606 $aAlgebraic geometry$2bicssc 606 $aMathematics$xGeometry$xAlgebraic$2bisacsh 606 $aGeometry, Algebraic$2fast$3(OCoLC)fst00940902 615 0$aGeometry, Algebraic. 615 6$aGe?ome?trie alge?brique. 615 7$aAlgebraic geometry. 615 7$aMathematics$xGeometry$xAlgebraic. 615 7$aGeometry, Algebraic. 676 $a516.3/5 702 $aPardini$b Rita 702 $aPirola$b Gian Pietro 702 $aBeauville$b Arnaud 702 $aHassett$b Brendan 702 $aKuznetsov$b Alexander$f1973- 702 $aVerra$b Alessandro 801 0$bYDX 801 1$bYDX 801 2$bGW5XE 801 2$bAZU 801 2$bESU 801 2$bUAB 801 2$bJG0 801 2$bUPM 801 2$bOCLCF 801 2$bCOO 801 2$bOCLCQ 801 2$bIOG 801 2$bGZM 801 2$bIAD 801 2$bJBG 801 2$bICW 801 2$bILO 801 2$bICN 801 2$bOTZ 801 2$bOCLCQ 801 2$bVT2 801 2$bU3W 801 2$bREB 801 2$bCAUOI 801 2$bKSU 801 2$bUCW 801 2$bOCLCQ 801 2$bUX0 801 2$bOCLCQ 801 2$bWYU 801 2$bEBLCP 801 2$bOCLCQ 801 2$bUKMGB 801 2$bERF 801 2$bOCLCQ 801 2$bUKAHL 801 2$bNLW 801 2$bOCLCO 906 $aBOOK 912 $a996466764703316 996 $aRationality problems in algebraic geometry$91412560 997 $aUNISA