TY - BOOK ID - 96147550 TI - Rationality problems in algebraic geometry : Levico Terme, Italy 2015 AU - Pardini, Rita AU - Pirola, Gian Pietro AU - Beauville, Arnaud AU - Hassett, Brendan AU - Kuznetsov, Alexander AU - Verra, Alessandro PY - 2016 VL - 2172 SN - 9783319462097 3319462091 3319462083 PB - Cham, Switzerland : Springer, DB - UniCat KW - Geometry, Algebraic. KW - Géométrie algébrique. KW - Algebraic geometry. KW - Mathematics KW - Geometry KW - Algebraic. KW - Algebraic geometry UR - https://www.unicat.be/uniCat?func=search&query=sysid:96147550 AB - 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. ER -