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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


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  • Cohomological and Geometric Approaches to Rationality Problems : New Perspectives available on July 08 2023 from BiggerBooks for 142.37
  • Cohomological and Geometric Approaches to Rationality Problems : New Perspectives available on April 17 2021 from ECampus for 145.28
  • Cohomological And Geometric Approaches To Rationality Problems: New Perspectives available on May 16 2018 from Indigo for 156.5
  • ISBN bar code 9780817649333 ξ1 registered July 08 2023
  • ISBN bar code 9780817649333 ξ2 registered July 21 2013
  • ISBN bar code 9780817649333 ξ3 registered May 16 2018
  • Product category is Cohomological and Geometric Approaches to Rationality Problems : New Perspectives, 9780817649333, Book, Textbook Book

  • # 9780817649333N
  • # 978081764933

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. Böhning; G. Catanese; I. Cheltsov; J. Park; N. Hoffmann; S. J. Hu; M. C. Kang; L. Katzarkov; Y. Prokhorov; A. Pukhlikov


References
    ^ (2014). Cohomological and Geometric Approaches to Rationality Problems : New Perspectives, SPRINGER. BiggerBooks. (revised Jul 2023)
    ^ (2013). Cohomological and Geometric Approaches to Rationality Problems : New Perspectives ECampus. (revised Apr 2021)
    ^ Cohomological And Geometric Approaches To Rationality Problems: New Perspectives Indigo. (revised May 2018)

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