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  • Book
  • © 2016

Rationality Problems in Algebraic Geometry

Levico Terme, Italy 2015

Authors:

Editors:

  1. Arnaud Beauville

    1. Laboratoire J.-A. Dieudonné, Université de Nice, Nice cedex 2, France

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  2. Brendan Hassett

    1. ICERM, Brown University, Brown University ICERM, Brown University, Providence, USA

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  3. Alexander Kuznetsov

    1. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

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  4. Alessandro Verra

    1. Dipartimento di Matematica, Università Roma Tre, Roma, Italy

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  1. Rita Pardini

    1. Dipartimento di Matematica, Università di Pisa Dipartimento di Matematica, Pisa, Italy

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  2. Gian Pietro Pirola

    1. Dipartimento di matematica, University of Pavia, Pavia, Italy

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  • 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 chapter includes a large bibliography

Part of the book series: Lecture Notes in Mathematics (LNM, volume 2172)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-viii
    PDF

  2. The Lüroth Problem

    • Arnaud Beauville
    Pages 1-27

  4. Derived Categories View on Rationality Problems

    • Alexander Kuznetsov
    Pages 67-104

  5. Classical Moduli Spaces and Rationality

    • Alessandro Verra
    Pages 105-160

  7. Back Matter

    Pages 169-170
    PDF
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About this book

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.

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Keywords

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Authors, Editors and Affiliations

  • Dipartimento di Matematica, Università di Pisa Dipartimento di Matematica, Pisa, Italy

    Rita Pardini

  • Dipartimento di matematica, University of Pavia, Pavia, Italy

    Gian Pietro Pirola

  • Laboratoire J.-A. Dieudonné, Université de Nice, Nice cedex 2, France

    Arnaud Beauville

  • ICERM, Brown University, Brown University ICERM, Brown University, Providence, USA

    Brendan Hassett

  • Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

    Alexander Kuznetsov

  • Dipartimento di Matematica, Università Roma Tre, Roma, Italy

    Alessandro Verra

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Bibliographic Information

  • Book Title: Rationality Problems in Algebraic Geometry

  • Book Subtitle: Levico Terme, Italy 2015

  • Authors: Arnaud Beauville, Brendan Hassett, Alexander Kuznetsov, Alessandro Verra

  • Editors: Rita Pardini, Gian Pietro Pirola

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-46209-7

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Softcover ISBN: 978-3-319-46208-0Published: 07 December 2016

  • eBook ISBN: 978-3-319-46209-7Published: 06 December 2016

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 170

  • Number of Illustrations: 34 b/w illustrations, 1 illustrations in colour

  • Topics: Algebraic Geometry

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Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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