001440567 000__ 03904cam\a2200565\i\4500 001440567 001__ 1440567 001440567 003__ OCoLC 001440567 005__ 20230309004612.0 001440567 006__ m\\\\\o\\d\\\\\\\\ 001440567 007__ cr\cn\nnnunnun 001440567 008__ 211027s2021\\\\sz\a\\\\o\\\\\000\0\eng\d 001440567 019__ $$a1280196075$$a1280275263 001440567 020__ $$a9783030754211$$q(electronic bk.) 001440567 020__ $$a3030754219$$q(electronic bk.) 001440567 020__ $$z9783030754204$$q(print) 001440567 020__ $$z3030754200 001440567 0247_ $$a10.1007/978-3-030-75421-1$$2doi 001440567 035__ $$aSP(OCoLC)1280483545 001440567 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dOCLCF$$dOCLCO$$dOCLCQ$$dOCLCO$$dOCLCQ 001440567 049__ $$aISEA 001440567 050_4 $$aQA564 001440567 08204 $$a516.3/5$$223 001440567 24500 $$aRationality of varieties /$$cGavril Farkas, Gerard van der Geer, Mingmin Shen, Lenny Taelman, editors. 001440567 264_1 $$aCham, Switzerland :$$bBirkhäuser,$$c2021. 001440567 300__ $$a1 online resource (ix, 433 pages) :$$billustrations 001440567 336__ $$atext$$btxt$$2rdacontent 001440567 337__ $$acomputer$$bc$$2rdamedia 001440567 338__ $$aonline resource$$bcr$$2rdacarrier 001440567 4901_ $$aProgress in mathematics,$$x2296-505X ;$$vvolume 342 001440567 5050_ $$aRationality of Fano threefolds of degree 18 over nonclosed fields -- A categorical invariant for geometrically rational surfaces with a conic bundle structure -- Vanishing cycles under base change and the integral Hodge conjecture -- Explicit rationality of some Fano fourfolds -- Unirationality of certain universal families of cubic fourfolds -- Rational curves and MBM classes on hyperk ähler manifolds: a survey -- Marked and labelled Gushel-Mukai fourfolds -- The Igusa quartic and the Prym map. (I) Some Rationality results -- Rationality of Mukai varieties over non-closed fields -- A refinement of the motivic volume, and specialization of birational types -- On the image of the second ell-adic Bloch map -- Supersingular irreducible symplectic varieties -- On the geometry of Fano threefold hypersurfaces -- Symbols and equivariant birational geometry in small dimensions. 001440567 506__ $$aAccess limited to authorized users. 001440567 520__ $$aThis book provides an overview of the latest progress on rationality questions in algebraic geometry. It discusses new developments such as universal triviality of the Chow group of zero cycles, various aspects of stable birationality, cubic and Fano fourfolds, rationality of moduli spaces and birational invariants of group actions on varieties, contributed by the foremost experts in their fields. The question of whether an algebraic variety can be parametrized by rational functions of as many variables as its dimension has a long history and played an important role in the history of algebraic geometry. Recent developments in algebraic geometry have made this question again a focal point of research and formed the impetus to organize a conference in the series of conferences on the island of Schiermonnikoog. The book follows in the tradition of earlier volumes, which originated from conferences on the islands Texel and Schiermonnikoog. 001440567 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed October 27, 2021). 001440567 650_0 $$aGeometry, Algebraic. 001440567 650_0 $$aRational points (Geometry) 001440567 650_6 $$aGéométrie algébrique. 001440567 650_6 $$aPoints rationnels (Géométrie) 001440567 655_0 $$aElectronic books. 001440567 7001_ $$aFarkas, Gavril,$$eeditor. 001440567 7001_ $$aGeer, Gerard van der,$$eeditor. 001440567 7001_ $$aShen, Mingmin,$$d1983-$$eeditor. 001440567 7001_ $$aTaelman, Lenny,$$d1980-$$eeditor. 001440567 77608 $$iPrint version: $$z3030754200$$z9783030754204$$w(OCoLC)1245657000 001440567 830_0 $$aProgress in mathematics (Boston, Mass.) ;$$vv. 342.$$x2296-505X 001440567 852__ $$bebk 001440567 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-75421-1$$zOnline Access$$91397441.1 001440567 909CO $$ooai:library.usi.edu:1440567$$pGLOBAL_SET 001440567 980__ $$aBIB 001440567 980__ $$aEBOOK 001440567 982__ $$aEbook 001440567 983__ $$aOnline 001440567 994__ $$a92$$bISE