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Titlebook: Cohomological and Geometric Approaches to Rationality Problems; New Perspectives Fedor Bogomolov,Yuri Tschinkel Book 2010 Birkh?user Boston

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書目名稱Cohomological and Geometric Approaches to Rationality Problems
副標題New Perspectives
編輯Fedor Bogomolov,Yuri Tschinkel
視頻videohttp://file.papertrans.cn/230/229248/229248.mp4
概述Includes papers written by leading experts in the field.Contains a selection of articles exploring rationality problems in algebraic geometry.Gives a representative sample of problems and most recent
叢書名稱Progress in Mathematics
圖書封面Titlebook: Cohomological and Geometric Approaches to Rationality Problems; New Perspectives Fedor Bogomolov,Yuri Tschinkel Book 2010 Birkh?user Boston
描述.Rationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of characteristic zero. Such advances has led to many interdisciplinary applications to algebraic geometry...This comprehensive book consists of surveys of research papers by leading specialists in the field and gives indications for future research in rationality problems. Topics discussed include the rationality of quotient spaces, cohomological invariants of quasi-simple Lie type groups, rationality of the moduli space of curves, and rational points on algebraic varieties...This volume is intended for researchers, mathematicians, and graduate students interested in algebraic geometry, and specifically in rationality problems...Contributors: F. Bogomolov; T. Petrov; Y. Tschinkel; Ch. B?hning; G. Catanese; I. Cheltsov; J. Park; N. Hoffmann; S. J. Hu; M. C. Kang; L. Katzarkov; Y. Prokhorov; A. Pukhlikov.
出版日期Book 2010
關(guān)鍵詞Bogomolov multiplier; Cohomology; Noether‘s Problem; algebraic varieties; birational rigidity; moduli spa
版次1
doihttps://doi.org/10.1007/978-0-8176-4934-0
isbn_ebook978-0-8176-4934-0Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightBirkh?user Boston 2010
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https://doi.org/10.1007/978-0-8176-4934-0Bogomolov multiplier; Cohomology; Noether‘s Problem; algebraic varieties; birational rigidity; moduli spa
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Sensory Physiology and BehaviorWe prove rationality of the moduli space of pairs of curves of genus three together with a point of order three in their Jacobian.
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Sensory Physiology and BehaviorWe prove vanishing results for unramified stable cohomology of finite groups of Lie type.
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The Rationality of Certain Moduli Spaces of Curves of Genus 3,We prove rationality of the moduli space of pairs of curves of genus three together with a point of order three in their Jacobian.
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