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Advances on Superelliptic Curves and Their Applications

By: (Edited by) Eustrat Zhupa , (Edited by) Lubjana Beshaj

Manufacture on Demand

Ksh 35,700.00

Format: Hardback or Cased Book

ISBN-10: 1614995192

ISBN-13: 9781614995197

Publisher: IOS Press

Imprint: IOS Press,US

Country of Manufacture: GB

Country of Publication: GB

Publication Date: Apr 29th, 2025

Print length: 388 Pages

Weight: 846 grams

Dimensions (height x width x thickness): 25.10 x 17.00 x 3.00 cms

Product Classification: Algebraic geometry

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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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