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Titlebook: Rationality Problems in Algebraic Geometry; Levico Terme, Italy Arnaud Beauville,Brendan Hassett,Alessandro Verra, Book 2016 Springer Inte

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书目名称Rationality Problems in Algebraic Geometry
副标题Levico Terme, Italy
编辑Arnaud Beauville,Brendan Hassett,Alessandro Verra,
视频video
概述A collaboration with CIRM, Trento.Provides an up-to-date survey of results on rationality of algebraic varieties.Gives a comprehensive introduction to the subject, accessible to non-specialists.Each c
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Rationality Problems in Algebraic Geometry; Levico Terme, Italy  Arnaud Beauville,Brendan Hassett,Alessandro Verra, Book 2016 Springer Inte
描述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..
出版日期Book 2016
关键词14E08, 14F05, 14H10; rational and unirational varieties; Fano manifolds; cubic fourfold; derived categor
版次1
doihttps://doi.org/10.1007/978-3-319-46209-7
isbn_softcover978-3-319-46208-0
isbn_ebook978-3-319-46209-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing Switzerland 2016
The information of publication is updating

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Unirationality of Moduli Spaces of Special Cubic Fourfolds and K3 Surfaces,tionality of these .. It follows as a corollary that the moduli space . of polarized K3 surfaces of degree . is unirational for . = 14, 26, 38. The case . = 26 is entirely new, while the other two cases have been previously proven by Mukai. We also explain the construction of what we conjecture to b
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