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Polynomial Rings and Affine Algebraic Geometry

PRAAG 2018, Tokyo, Japan, February 12−16

  • Conference proceedings
  • © 2020

Overview

Editors:
  1. Shigeru Kuroda

    1. Department of Mathematical Sciences, Tokyo Metropolitan University, Hachioji, Tokyo, Japan

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  2. Nobuharu Onoda

    1. Faculty of Applied Physics, University of Fukui, Fukui, Japan

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    You can also search for this editor in PubMed   Google Scholar

  3. Gene Freudenburg

    1. Department of Mathematics, Western Michigan University, Kalamazoo, USA

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    You can also search for this editor in PubMed   Google Scholar

  • Gathers in a single volume the latest research conducted by an international group of experts on affine and projective algebraic geometry
  • Covers topics like the Cancellation Problem, the Embedding Problem, the Dolgachev-Weisfeiler Conjecture, and more
  • Offers a valuable source of information and inspiration for researchers and students pursuing new problems and research paths

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

Included in the following conference series:

Conference proceedings info: PRAAG 2018.

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Table of contents (14 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. On Fano Schemes of Complete Intersections

    • C. Ciliberto, M. Zaidenberg
    Pages 1-39

  3. Locally Nilpotent Sets of Derivations

    • Daniel Daigle
    Pages 41-71

  4. On the Theory of Gordan-Noether on Homogeneous Forms with Zero Hessian (Improved Version)

    • Junzo Watanabe, Michiel de Bondt
    Pages 73-107

  5. Rational Real Algebraic Models of Compact Differential Surfaces with Circle Actions

    • Adrien Dubouloz, Charlie Petitjean
    Pages 109-142

  6. The Super-Rank of a Locally Nilpotent Derivation of a Polynomial Ring

    • Gene Freudenburg
    Pages 143-150

  7. Affine Space Fibrations

    • Rajendra V. Gurjar, Kayo Masuda, Masayoshi Miyanishi
    Pages 151-193

  8. A Graded Domain Is Determined at Its Vertex. Applications to Invariant Theory

    • R. V. Gurjar
    Pages 195-198

  9. Singularities of Normal Log Canonical del Pezzo Surfaces of Rank One

    • Hideo Kojima
    Pages 199-208

  10. \(O_2(\mathbb {C})\)-Vector Bundles and Equivariant Real Circle Actions

    • L. Moser-Jauslin
    Pages 209-221

  11. On Some Sufficient Conditions for Polynomials to Be Closed Polynomials over Domains

    • Takanori Nagamine
    Pages 223-231

  12. Variations on the Theme of Zariski’s Cancellation Problem

    • Vladimir L. Popov
    Pages 233-250

  13. Tango Structures on Curves in Characteristic 2

    • Yoshifumi Takeda
    Pages 251-265

  14. Exponential Matrices of Size Five-By-Five

    • Ryuji Tanimoto
    Pages 267-305

  15. Mathieu-Zhao Spaces and the Jacobian Conjecture

    • Arno van den Essen
    Pages 307-315
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  1. Polynomial Rings and Affine Algebraic Geometry

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About this book

This proceedings volume gathers selected, peer-reviewed works presented at the Polynomial Rings and Affine Algebraic Geometry Conference, which was held at Tokyo Metropolitan University on February 12-16, 2018. Readers will find some of the latest research conducted by an international group of experts on affine and projective algebraic geometry. The 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. These papers will be of interest to all researchers and graduate students working in the fields of affine and projective algebraic geometry, as well as on certain aspects of commutative algebra, Lie theory, symplectic geometry andStein manifolds.

Editors and Affiliations

  • Department of Mathematical Sciences, Tokyo Metropolitan University, Hachioji, Tokyo, Japan

    Shigeru Kuroda

  • Faculty of Applied Physics, University of Fukui, Fukui, Japan

    Nobuharu Onoda

  • Department of Mathematics, Western Michigan University, Kalamazoo, USA

    Gene Freudenburg

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.


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