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Titlebook: Rationality of Varieties; Gavril Farkas,Gerard van der Geer,Lenny Taelman Conference proceedings 2021 The Editor(s) (if applicable) and Th

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发表于 2025-3-21 17:55:51 | 显示全部楼层 |阅读模式
书目名称Rationality of Varieties
编辑Gavril Farkas,Gerard van der Geer,Lenny Taelman
视频video
丛书名称Progress in Mathematics
图书封面Titlebook: Rationality of Varieties;  Gavril Farkas,Gerard van der Geer,Lenny Taelman Conference proceedings 2021 The Editor(s) (if applicable) and Th
描述.This 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...
出版日期Conference proceedings 2021
关键词algebraic variety; birational invariant; Fano fourfolds; Chow group of zero cycles; moduli spaces
版次1
doihttps://doi.org/10.1007/978-3-030-75421-1
isbn_softcover978-3-030-75423-5
isbn_ebook978-3-030-75421-1Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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发表于 2025-3-21 21:30:47 | 显示全部楼层
,Rational Curves and MBM Classes on Hyperkähler Manifolds: A Survey,This paper deals with rational curves and birational contractions on irreducible holomorphically symplectic manifold. We survey some recent results about minimal rational curves, their deformations, extremal rays associated with these curves, and the geometry of the Kähler cone.
发表于 2025-3-22 04:00:38 | 显示全部楼层
A Categorical Invariant for Geometrically Rational Surfaces with a Conic Bundle Structure,We define a categorical birational invariant for minimal geometrically rational surfaces with a conic bundle structure over a perfect field via components of a natural semiorthogonal decomposition. Together with the similar known result on del Pezzo surfaces, this provides a categorical birational invariant for geometrically rational surfaces.
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Symbols and Equivariant Birational Geometry in Small Dimensions,We discuss the equivariant Burnside group and related new invariants in equivariant birational geometry, with a special emphasis on applications in low dimensions.
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Progress in Mathematicshttp://image.papertrans.cn/r/image/821515.jpg
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A Refinement of the Motivic Volume, and Specialization of Birational Types, of the motivic volume and its birational version introduced by Kontsevich and Tschinkel to prove the specialization of birational types. We also provide several explicit examples of obstructions to stable rationality arising from this technique.
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