{"product_id":"cohomological-and-geometric-approaches-to-fedor-bogomolov-9780817649333","title":"Cohomological and Geometric Approaches to Rationality Problems: New Perspectives","description":"\u003cp\u003eRationality 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.\u003c\/p\u003e \u003cp\u003eThis 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.\u003c\/p\u003e \u003cp\u003eThis volume is intended for researchers, mathematicians, and graduate students interested in algebraic geometry, and specifically in rationality problems.\u003c\/p\u003e \u003cp\u003eContributors: F. Bogomolov; T. Petrov; Y. Tschinkel; Ch. Böhning; G. Catanese; I. Cheltsov; J. Park; N. Hoffmann; S. J. Hu; M. C. Kang; L. Katzarkov; Y. Prokhorov; A. Pukhlikov\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Fedor Bogomolov\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0817649336\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780817649333\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/10\/2009\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 314\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.39lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.75d","brand":"Fedor Bogomolov","offers":[{"title":"Hardcover","offer_id":48483716235519,"sku":"9780817649333","price":109.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_0d1d9f8a-b466-4072-8ffc-428dd0e9b533.jpg?v=1778040191","url":"https:\/\/www.whiterainbookhouse.com\/products\/cohomological-and-geometric-approaches-to-fedor-bogomolov-9780817649333","provider":"WR Book House","version":"1.0","type":"link"}