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Affine Algebraic Geometry
 
Edited by: Jaime Gutierrez University of Cantabria, Santander, Spain
Vladimir Shpilrain City College of New York, New York, NY
Jie-Tai Yu University of Hong Kong, Hong Kong
Affine Algebraic Geometry
Softcover ISBN:  978-0-8218-3476-3
Product Code:  CONM/369
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7959-7
Product Code:  CONM/369.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3476-3
eBook: ISBN:  978-0-8218-7959-7
Product Code:  CONM/369.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Affine Algebraic Geometry
Click above image for expanded view
Affine Algebraic Geometry
Edited by: Jaime Gutierrez University of Cantabria, Santander, Spain
Vladimir Shpilrain City College of New York, New York, NY
Jie-Tai Yu University of Hong Kong, Hong Kong
Softcover ISBN:  978-0-8218-3476-3
Product Code:  CONM/369
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7959-7
Product Code:  CONM/369.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3476-3
eBook ISBN:  978-0-8218-7959-7
Product Code:  CONM/369.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3692005; 276 pp
    MSC: Primary 14; 13; 12

    A Special Session on affine and algebraic geometry took place at the first joint meeting between the American Mathematical Society (AMS) and the Real Sociedad Matemática Española (RSME) held in Seville (Spain). This volume contains articles by participating speakers at the Session.

    The book contains research and survey papers discussing recent progress on the Jacobian Conjecture and affine algebraic geometry and includes a large collection of open problems. It is suitable for graduate students and research mathematicians interested in algebraic geometry.

    Readership

    Graduate students and research mathematicians interested in algebraic geometry.

  • Table of Contents
     
     
    • Articles
    • G. Freudenburg and P. Russell — Open problems in affine algebraic geometry [ MR 2126651 ]
    • Teruo Asanuma — Purely inseparable $k$-forms of affine algebraic curves [ MR 2126652 ]
    • Teruo Asanuma, S. M. Bhatwadekar and Nobuharu Onoda — Generic fibrations by ${\bf A}^1$ and ${\bf A}^*$ over discrete valuation rings [ MR 2126653 ]
    • Michiel de Bondt and Arno van den Essen — Hesse and the Jacobian conjecture [ MR 2126654 ]
    • Pierrette Cassou-Noguès — Bad field generators [ MR 2126655 ]
    • Vesselin Drensky — Coordinates in ideals of polynomial algebras [ MR 2126656 ]
    • Hubert Flenner and Mikhail Zaidenberg — On the uniqueness of $\Bbb C^*$-actions on affine surfaces [ MR 2126657 ]
    • Tatsuji Kambayashi and Masayoshi Miyanishi — On two recent views of the Jacobian conjecture [ MR 2126658 ]
    • Takashi Kishimoto — Singularities on normal affine 3-folds containing $\Bbb A^1$-cylinderlike open subsets [ MR 2126659 ]
    • Hanspeter Kraft — Free $\Bbb C^+$-actions on affine threefolds [ MR 2126660 ]
    • Leonid Makar-Limanov — Again $x+x^2y+z^2+t^3=0$ [ MR 2126661 ]
    • Kayo Masuda and Masayoshi Miyanishi — Equivariant cancellation for algebraic varieties [ MR 2126662 ]
    • Ronen Peretz — Constructing polynomial mappings using non-commutative algebras [ MR 2126663 ]
    • Tanush Shaska and Jennifer L. Thompson — On the generic curve of genus 3 [ MR 2126664 ]
    • Igor E. Shparlinski — Orders of points on elliptic curves [ MR 2126665 ]
    • Vladimir Shpilrain and Jie-Tai Yu — Test polynomials, retracts, and the Jacobian conjecture [ MR 2126666 ]
    • David Wright — The Jacobian conjecture: ideal membership questions and recent advances [ MR 2126667 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3692005; 276 pp
MSC: Primary 14; 13; 12

A Special Session on affine and algebraic geometry took place at the first joint meeting between the American Mathematical Society (AMS) and the Real Sociedad Matemática Española (RSME) held in Seville (Spain). This volume contains articles by participating speakers at the Session.

The book contains research and survey papers discussing recent progress on the Jacobian Conjecture and affine algebraic geometry and includes a large collection of open problems. It is suitable for graduate students and research mathematicians interested in algebraic geometry.

Readership

Graduate students and research mathematicians interested in algebraic geometry.

  • Articles
  • G. Freudenburg and P. Russell — Open problems in affine algebraic geometry [ MR 2126651 ]
  • Teruo Asanuma — Purely inseparable $k$-forms of affine algebraic curves [ MR 2126652 ]
  • Teruo Asanuma, S. M. Bhatwadekar and Nobuharu Onoda — Generic fibrations by ${\bf A}^1$ and ${\bf A}^*$ over discrete valuation rings [ MR 2126653 ]
  • Michiel de Bondt and Arno van den Essen — Hesse and the Jacobian conjecture [ MR 2126654 ]
  • Pierrette Cassou-Noguès — Bad field generators [ MR 2126655 ]
  • Vesselin Drensky — Coordinates in ideals of polynomial algebras [ MR 2126656 ]
  • Hubert Flenner and Mikhail Zaidenberg — On the uniqueness of $\Bbb C^*$-actions on affine surfaces [ MR 2126657 ]
  • Tatsuji Kambayashi and Masayoshi Miyanishi — On two recent views of the Jacobian conjecture [ MR 2126658 ]
  • Takashi Kishimoto — Singularities on normal affine 3-folds containing $\Bbb A^1$-cylinderlike open subsets [ MR 2126659 ]
  • Hanspeter Kraft — Free $\Bbb C^+$-actions on affine threefolds [ MR 2126660 ]
  • Leonid Makar-Limanov — Again $x+x^2y+z^2+t^3=0$ [ MR 2126661 ]
  • Kayo Masuda and Masayoshi Miyanishi — Equivariant cancellation for algebraic varieties [ MR 2126662 ]
  • Ronen Peretz — Constructing polynomial mappings using non-commutative algebras [ MR 2126663 ]
  • Tanush Shaska and Jennifer L. Thompson — On the generic curve of genus 3 [ MR 2126664 ]
  • Igor E. Shparlinski — Orders of points on elliptic curves [ MR 2126665 ]
  • Vladimir Shpilrain and Jie-Tai Yu — Test polynomials, retracts, and the Jacobian conjecture [ MR 2126666 ]
  • David Wright — The Jacobian conjecture: ideal membership questions and recent advances [ MR 2126667 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.