© 2020

Polynomial Rings and Affine Algebraic Geometry

PRAAG 2018, Tokyo, Japan, February 12−16

  • Shigeru Kuroda
  • Nobuharu Onoda
  • Gene Freudenburg
Conference proceedings PRAAG 2018

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 319)

Table of contents

About these proceedings


This proceedings volume gathers together selected, peer-reviewed works presented at the Polynomial Rings and Affine Algebraic Geometry conference which was held at the Tokyo Metropolitan University on February 12-26, 2018, in Tokyo, Japan. In this book, the reader will find some of the latest research conducted by an international group of experts in affine and projective algebraic geometry. Topics covered include group actions and linearization, automorphism groups and their structure as infinite-dimensional varieties, invariant theory, the Cancellation Problem, the Embedding Problem, Mathieu spaces and the Jacobian Conjecture, the Dolgachev-Weisfeiler Conjecture, classification of curves and surfaces, real forms of complex varieties, and questions of rationality, unirationality, and birationality. The articles contained in this volume will be of interest to all researchers and graduate students working in the fields of affine and projective algebraic geometry, as well as in certain aspects of commutative algebra, Lie theory, symplectic geometry and Stein manifolds.


affine variety locally nilpotent derivation automorphism group projective variety rational curve Ga-action Mathieu space Jacobian Conjecture log Kodaira dimension

Editors and affiliations

  • Shigeru Kuroda
    • 1
  • Nobuharu Onoda
    • 2
  • Gene Freudenburg
    • 3
  1. 1.Department of Mathematical SciencesTokyo Metropolitan UniversityHachioji, TokyoJapan
  2. 2.Faculty of Applied PhysicsUniversity of FukuiFukuiJapan
  3. 3.Department of MathematicsWestern Michigan UniversityKalamazooUSA

About the editors

Shigeru Kuroda is a Professor at Tokyo Metropolitan University, Japan. Holding a PhD (2003) from Tohoku University, Japan, his main research focuses are on affine algebraic geometry and polynomial ring theory.

Nobuharu Onoda is a Professor at University of Fukui, Japan. He holds a PhD (1983) from Osaka University, Japan. His main research interests are in commutative algebra related to affine algebraic geometry.

Gene Freudenburg is a Professor at Western Michigan University, USA. He completed his PhD (1992) at Washington University, Saint Louis, USA. His chief research interests are in commutative algebra and affine algebraic geometry. He authored the Springer book “Algebraic Theory of Locally Nilpotent Derivations” (978-3-662-55348-0), now in its second edition.

Bibliographic information

  • Book Title Polynomial Rings and Affine Algebraic Geometry
  • Book Subtitle PRAAG 2018, Tokyo, Japan, February 12−16
  • Editors Shigeru Kuroda
    Nobuharu Onoda
    Gene Freudenburg
  • Series Title Springer Proceedings in Mathematics & Statistics
  • Series Abbreviated Title Springer Proceedings in Mathematics & Statistics
  • DOI
  • Copyright Information Springer Nature Switzerland AG 2020
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-030-42135-9
  • Softcover ISBN 978-3-030-42138-0
  • eBook ISBN 978-3-030-42136-6
  • Series ISSN 2194-1009
  • Series E-ISSN 2194-1017
  • Edition Number 1
  • Number of Pages X, 315
  • Number of Illustrations 8 b/w illustrations, 3 illustrations in colour
  • Topics Algebraic Geometry
    Commutative Rings and Algebras
    Group Theory and Generalizations
  • Buy this book on publisher's site
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