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Arithmetic Geometry: Computation and Applications
 
Edited by: Yves Aubry Institut de Mathématiques de Toulon - IMATH, La Garde, France and Institut de Mathématiques de Marseille - I2M, Marseille, France
Everett W. Howe Center for Communications Research, La Jolla, CA
Christophe Ritzenthaler Institut de Recherche Mathématiques de Rennes (IRMAR), Rennes, France
Arithmetic Geometry: Computation and Applications
Softcover ISBN:  978-1-4704-4212-5
Product Code:  CONM/722
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-5104-2
Product Code:  CONM/722.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-4212-5
eBook: ISBN:  978-1-4704-5104-2
Product Code:  CONM/722.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Arithmetic Geometry: Computation and Applications
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Arithmetic Geometry: Computation and Applications
Edited by: Yves Aubry Institut de Mathématiques de Toulon - IMATH, La Garde, France and Institut de Mathématiques de Marseille - I2M, Marseille, France
Everett W. Howe Center for Communications Research, La Jolla, CA
Christophe Ritzenthaler Institut de Recherche Mathématiques de Rennes (IRMAR), Rennes, France
Softcover ISBN:  978-1-4704-4212-5
Product Code:  CONM/722
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-5104-2
Product Code:  CONM/722.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-4212-5
eBook ISBN:  978-1-4704-5104-2
Product Code:  CONM/722.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: 7222019; 175 pp
    MSC: Primary 11; 14; 20

    For thirty years, the biennial international conference AGC\(^2\)T (Arithmetic, Geometry, Cryptography, and Coding Theory) has brought researchers to Marseille to build connections between arithmetic geometry and its applications, originally highlighting coding theory but more recently including cryptography and other areas as well.

    This volume contains the proceedings of the 16th international conference, held from June 19–23, 2017.

    The papers are original research articles covering a large range of topics, including weight enumerators for codes, function field analogs of the Brauer–Siegel theorem, the computation of cohomological invariants of curves, the trace distributions of algebraic groups, and applications of the computation of zeta functions of curves. Despite the varied topics, the papers share a common thread: the beautiful interplay between abstract theory and explicit results.

    Readership

    Graduate students and research mathematicians interested in arithmetic geometry and coding theory.

  • Table of Contents
     
     
    • Articles
    • Jeffrey D. Achter and Everett W. Howe — Hasse–Witt and Cartier–Manin matrices: A warning and a request
    • Marc Hindry — Analogues of Brauer-Siegel theorem in arithmetic geometry
    • Ariyan Javanpeykar and John Voight — The Belyi degree of a curve is computable
    • Nathan Kaplan — Weight enumerators of Reed-Muller codes from cubic curves and their duals
    • Gilles Lachaud — The distribution of the trace in the compact group of type $\mathbf {G}_{2}$
    • Beth Malmskog, Rachel Pries and Colin Weir — The de Rham cohomology of the Suzuki curves
    • Fabien Pazuki — Décompositions en hauteurs locales
    • Bjorn Poonen — Using zeta functions to factor polynomials over finite fields
    • Jeroen Sijsling — Canonical models of arithmetic $(1; \infty )$-curves
    • Andrew V. Sutherland and José Felipe Voloch — Maps between curves and arithmetic obstructions
  • 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: 7222019; 175 pp
MSC: Primary 11; 14; 20

For thirty years, the biennial international conference AGC\(^2\)T (Arithmetic, Geometry, Cryptography, and Coding Theory) has brought researchers to Marseille to build connections between arithmetic geometry and its applications, originally highlighting coding theory but more recently including cryptography and other areas as well.

This volume contains the proceedings of the 16th international conference, held from June 19–23, 2017.

The papers are original research articles covering a large range of topics, including weight enumerators for codes, function field analogs of the Brauer–Siegel theorem, the computation of cohomological invariants of curves, the trace distributions of algebraic groups, and applications of the computation of zeta functions of curves. Despite the varied topics, the papers share a common thread: the beautiful interplay between abstract theory and explicit results.

Readership

Graduate students and research mathematicians interested in arithmetic geometry and coding theory.

  • Articles
  • Jeffrey D. Achter and Everett W. Howe — Hasse–Witt and Cartier–Manin matrices: A warning and a request
  • Marc Hindry — Analogues of Brauer-Siegel theorem in arithmetic geometry
  • Ariyan Javanpeykar and John Voight — The Belyi degree of a curve is computable
  • Nathan Kaplan — Weight enumerators of Reed-Muller codes from cubic curves and their duals
  • Gilles Lachaud — The distribution of the trace in the compact group of type $\mathbf {G}_{2}$
  • Beth Malmskog, Rachel Pries and Colin Weir — The de Rham cohomology of the Suzuki curves
  • Fabien Pazuki — Décompositions en hauteurs locales
  • Bjorn Poonen — Using zeta functions to factor polynomials over finite fields
  • Jeroen Sijsling — Canonical models of arithmetic $(1; \infty )$-curves
  • Andrew V. Sutherland and José Felipe Voloch — Maps between curves and arithmetic obstructions
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.