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Rationality Problems in Algebraic Geometry

Levico Terme, Italy 2015

Rita Pardini, Gian Pietro Pirola (Herausgeber)

Arnaud Beauville, Brendan Hassett, Alexander Kuznetsov, Alessandro Verra (Autoren)

Buch | Softcover

VIII, 170 Seiten

2016 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-46208-0 (ISBN)

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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.

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.

Erscheinungsdatum	08.11.2016
Reihe/Serie	C.I.M.E. Foundation Subseries
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VIII, 170 p. 35 illus., 1 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	14E08, 14F05, 14H10 • Algebraic Geometry • cubic fourfold • derived category • Fano manifolds • K3 surfaces • mathematics and statistics • moduli of curves • rational and unirational varieties
ISBN-10	3-319-46208-3 / 3319462083
ISBN-13	978-3-319-46208-0 / 9783319462080
Zustand	Neuware