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Arithmetic, Geometry, Cryptography and Coding Theory
 
Edited by: Gilles Lachaud Institut de Mathématiques de Luminy, Marseille, France
Christophe Ritzenthaler Institut de Mathématiques de Luminy, Marseille, France
Michael A. Tsfasman Institut de Mathématiques de Luminy, Marseille, France
Arithmetic, Geometry, Cryptography and Coding Theory
eBook ISBN:  978-0-8218-8166-8
Product Code:  CONM/487.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Arithmetic, Geometry, Cryptography and Coding Theory
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Arithmetic, Geometry, Cryptography and Coding Theory
Edited by: Gilles Lachaud Institut de Mathématiques de Luminy, Marseille, France
Christophe Ritzenthaler Institut de Mathématiques de Luminy, Marseille, France
Michael A. Tsfasman Institut de Mathématiques de Luminy, Marseille, France
eBook ISBN:  978-0-8218-8166-8
Product Code:  CONM/487.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 4872009; 206 pp
    MSC: Primary 11; 14;

    This volume contains the proceedings of the 11th conference on \(\mathrm{AGC^{2}T}\), held in Marseille, France in November 2007. There are 12 original research articles covering asymptotic properties of global fields, arithmetic properties of curves and higher dimensional varieties, and applications to codes and cryptography. This volume also contains a survey article on applications of finite fields by J.-P. Serre.

    \(\mathrm{AGC^{2}T}\) conferences take place in Marseille, France every 2 years. These international conferences have been a major event in the area of applied arithmetic geometry for more than 20 years.

    Readership

    Graduate students and research mathematicians interested in arithmetic geometry and its applications.

  • Table of Contents
     
     
    • Articles
    • Amadou Diogo Barry and Stéphane R. Louboutin — On the fourth moment of theta functions at their central point [ MR 2555983 ]
    • Alp Bassa and Peter Beelen — On the construction of Galois towers [ MR 2555984 ]
    • Frédéric A. B. Edoukou — Codes defined by forms of degree 2 on quadric varieties in $\Bbb P^4(\Bbb F_q)$ [ MR 2555985 ]
    • Gerhard Frey and Ernst Kani — Curves of genus 2 with elliptic differentials and associated Hurwitz spaces [ MR 2555986 ]
    • Arnaldo Garcia — A note on the Giulietti-Korchmaros maximal curve [ MR 2555987 ]
    • Sudhir R. Ghorpade, Arunkumar R. Patil and Harish K. Pillai — Subclose families, threshold graphs, and the weight hierarchy of Grassmann and Schubert codes [ MR 2555988 ]
    • Robert M. Guralnick and Everett W. Howe — Characteristic polynomials of automorphisms of hyperelliptic curves [ MR 2555989 ]
    • Petar Ivanov and José Felipe Voloch — Breaking the Akiyama-Goto cryptosystem [ MR 2555990 ]
    • Kiran S. Kedlaya and Andrew V. Sutherland — Hyperelliptic curves, $L$-polynomials, and random matrices [ MR 2555991 ]
    • Florian Luca and Igor E. Shparlinski — On special finite fields [ MR 2555992 ]
    • François Rodier — Borne sur le degré des polynômes presque parfaitement non-linéaires [ MR 2555993 ]
    • Jean-Pierre Serre — How to use finite fields for problems concerning infinite fields [ MR 2555994 ]
    • Alexey Zykin — On the generalizations of the Brauer-Siegel theorem [ MR 2555995 ]
  • Additional Material
     
     
  • 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: 4872009; 206 pp
MSC: Primary 11; 14;

This volume contains the proceedings of the 11th conference on \(\mathrm{AGC^{2}T}\), held in Marseille, France in November 2007. There are 12 original research articles covering asymptotic properties of global fields, arithmetic properties of curves and higher dimensional varieties, and applications to codes and cryptography. This volume also contains a survey article on applications of finite fields by J.-P. Serre.

\(\mathrm{AGC^{2}T}\) conferences take place in Marseille, France every 2 years. These international conferences have been a major event in the area of applied arithmetic geometry for more than 20 years.

Readership

Graduate students and research mathematicians interested in arithmetic geometry and its applications.

  • Articles
  • Amadou Diogo Barry and Stéphane R. Louboutin — On the fourth moment of theta functions at their central point [ MR 2555983 ]
  • Alp Bassa and Peter Beelen — On the construction of Galois towers [ MR 2555984 ]
  • Frédéric A. B. Edoukou — Codes defined by forms of degree 2 on quadric varieties in $\Bbb P^4(\Bbb F_q)$ [ MR 2555985 ]
  • Gerhard Frey and Ernst Kani — Curves of genus 2 with elliptic differentials and associated Hurwitz spaces [ MR 2555986 ]
  • Arnaldo Garcia — A note on the Giulietti-Korchmaros maximal curve [ MR 2555987 ]
  • Sudhir R. Ghorpade, Arunkumar R. Patil and Harish K. Pillai — Subclose families, threshold graphs, and the weight hierarchy of Grassmann and Schubert codes [ MR 2555988 ]
  • Robert M. Guralnick and Everett W. Howe — Characteristic polynomials of automorphisms of hyperelliptic curves [ MR 2555989 ]
  • Petar Ivanov and José Felipe Voloch — Breaking the Akiyama-Goto cryptosystem [ MR 2555990 ]
  • Kiran S. Kedlaya and Andrew V. Sutherland — Hyperelliptic curves, $L$-polynomials, and random matrices [ MR 2555991 ]
  • Florian Luca and Igor E. Shparlinski — On special finite fields [ MR 2555992 ]
  • François Rodier — Borne sur le degré des polynômes presque parfaitement non-linéaires [ MR 2555993 ]
  • Jean-Pierre Serre — How to use finite fields for problems concerning infinite fields [ MR 2555994 ]
  • Alexey Zykin — On the generalizations of the Brauer-Siegel theorem [ MR 2555995 ]
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
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