Advances on Superelliptic Curves and Their Applications

Released on by L. Beshaj
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  • Advances on Superelliptic Curves and Their Applications Book Detail

  • Author : L. Beshaj
  • Release Date : 2015-07-16
  • Publisher : IOS Press
  • Genre : Computers
  • Pages : 387
  • ISBN 13 : 1614995206
  • File Size : 47,47 MB
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Advances on Superelliptic Curves and Their Applications by L. Beshaj PDF Summary

Book Description: This book had its origins in the NATO Advanced Study Institute (ASI) held in Ohrid, Macedonia, in 2014. The focus of this ASI was the arithmetic of superelliptic curves and their application in different scientific areas, including whether all the applications of hyperelliptic curves, such as cryptography, mathematical physics, quantum computation and diophantine geometry, can be carried over to the superelliptic curves. Additional papers have been added which provide some background for readers who were not at the conference, with the intention of making the book logically more complete and easier to read, but familiarity with the basic facts of algebraic geometry, commutative algebra and number theory are assumed. The book is divided into three sections. The first part deals with superelliptic curves with regard to complex numbers, the automorphisms group and the corresponding Hurwitz loci. The second part of the book focuses on the arithmetic of the subject, while the third addresses some of the applications of superelliptic curves.

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Algebraic Curves and Their Applications

Algebraic Curves and Their Applications

File Size : 97,97 MB
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This volume contains a collection of papers on algebraic curves and their applications. While algebraic curves traditionally have provided a path toward modern