Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Algebraic Curves and Their Applications
 
Edited by: Lubjana Beshaj West Point Military Academy, West Point, NY
Tony Shaska Oakland University, Rochester, MI
Algebraic Curves and Their Applications
Softcover ISBN:  978-1-4704-4247-7
Product Code:  CONM/724
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-5153-0
Product Code:  CONM/724.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-4247-7
eBook: ISBN:  978-1-4704-5153-0
Product Code:  CONM/724.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Algebraic Curves and Their Applications
Click above image for expanded view
Algebraic Curves and Their Applications
Edited by: Lubjana Beshaj West Point Military Academy, West Point, NY
Tony Shaska Oakland University, Rochester, MI
Softcover ISBN:  978-1-4704-4247-7
Product Code:  CONM/724
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-5153-0
Product Code:  CONM/724.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-4247-7
eBook ISBN:  978-1-4704-5153-0
Product Code:  CONM/724.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: 7242019; 344 pp
    MSC: Primary 11; 14

    This volume contains a collection of papers on algebraic curves and their applications. While algebraic curves traditionally have provided a path toward modern algebraic geometry, they also provide many applications in number theory, computer security and cryptography, coding theory, differential equations, and more.

    Papers cover topics such as the rational torsion points of elliptic curves, arithmetic statistics in the moduli space of curves, combinatorial descriptions of semistable hyperelliptic curves over local fields, heights on weighted projective spaces, automorphism groups of curves, hyperelliptic curves, dessins d'enfants, applications to Painlevé equations, descent on real algebraic varieties, quadratic residue codes based on hyperelliptic curves, and Abelian varieties and cryptography.

    This book will be a valuable resource for people interested in algebraic curves and their connections to other branches of mathematics.

    Readership

    Graduate students and research mathematicians interested in algebraic geometry, cryptography, and elliptic and hyperelliptic curves.

  • Table of Contents
     
     
    • Articles
    • Boris M. Bekker and Yuri G. Zarhin — Families of elliptic curves with rational torsion points of even order
    • Lubjana Beshaj and Scott Guest — The weighted moduli space of binary sextics
    • Timothy J. Ford — A family of nonnormal double planes associated to hyperelliptic curves
    • Shuichi Otake and Tony Shaska — On the discriminant of certain quadrinomials
    • Tim Dokchitser, Vladimir Dokchitser, Céline Maistret and Adam Morgan — Semistable types of hyperelliptic curves
    • Andrew R. Stout — Formal deformations of algebraic spaces and generalizations of the motivic Igusa-zeta function
    • Jorgo Mandili and Tony Shaska — Computing heights on weighted projective spaces
    • L. Beshaj and M. Polak — On hyperelliptic curves of genus 3
    • A. Broughton, T. Shaska and A. Wootton — On automorphisms of algebraic curves
    • Ismael Cortázar and Antonio F. Costa — On the algebraic classification of subgroups of hyperbolic planar crystallographic groups
    • Emilio Bujalance, Marston D. E. Conder, Antonio F. Costa and Milagros Izquierdo — On regular dessins d’enfants with 4g automorphisms and a curve of Wiman
    • Rubén A. Hidalgo — An explicit descent of real algebraic varieties
    • E. Previato — Curves in isomonodromy and isospectral deformations: Painlevé VI as a case study
    • Nigel Boston and Jing Hao — Quasi-quadratic residue codes and hyperelliptic curves
    • Gerhard Frey and Tony Shaska — Curves, Jacobians, and cryptography
  • 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: 7242019; 344 pp
MSC: Primary 11; 14

This volume contains a collection of papers on algebraic curves and their applications. While algebraic curves traditionally have provided a path toward modern algebraic geometry, they also provide many applications in number theory, computer security and cryptography, coding theory, differential equations, and more.

Papers cover topics such as the rational torsion points of elliptic curves, arithmetic statistics in the moduli space of curves, combinatorial descriptions of semistable hyperelliptic curves over local fields, heights on weighted projective spaces, automorphism groups of curves, hyperelliptic curves, dessins d'enfants, applications to Painlevé equations, descent on real algebraic varieties, quadratic residue codes based on hyperelliptic curves, and Abelian varieties and cryptography.

This book will be a valuable resource for people interested in algebraic curves and their connections to other branches of mathematics.

Readership

Graduate students and research mathematicians interested in algebraic geometry, cryptography, and elliptic and hyperelliptic curves.

  • Articles
  • Boris M. Bekker and Yuri G. Zarhin — Families of elliptic curves with rational torsion points of even order
  • Lubjana Beshaj and Scott Guest — The weighted moduli space of binary sextics
  • Timothy J. Ford — A family of nonnormal double planes associated to hyperelliptic curves
  • Shuichi Otake and Tony Shaska — On the discriminant of certain quadrinomials
  • Tim Dokchitser, Vladimir Dokchitser, Céline Maistret and Adam Morgan — Semistable types of hyperelliptic curves
  • Andrew R. Stout — Formal deformations of algebraic spaces and generalizations of the motivic Igusa-zeta function
  • Jorgo Mandili and Tony Shaska — Computing heights on weighted projective spaces
  • L. Beshaj and M. Polak — On hyperelliptic curves of genus 3
  • A. Broughton, T. Shaska and A. Wootton — On automorphisms of algebraic curves
  • Ismael Cortázar and Antonio F. Costa — On the algebraic classification of subgroups of hyperbolic planar crystallographic groups
  • Emilio Bujalance, Marston D. E. Conder, Antonio F. Costa and Milagros Izquierdo — On regular dessins d’enfants with 4g automorphisms and a curve of Wiman
  • Rubén A. Hidalgo — An explicit descent of real algebraic varieties
  • E. Previato — Curves in isomonodromy and isospectral deformations: Painlevé VI as a case study
  • Nigel Boston and Jing Hao — Quasi-quadratic residue codes and hyperelliptic curves
  • Gerhard Frey and Tony Shaska — Curves, Jacobians, and cryptography
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.