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OverviewThis volume contains the proceedings of the 14th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGCT), held June 3-7, 2013, at CIRM, Marseille, France. These international conferences, held every two years, have been a major event in the area of algorithmic and applied arithmetic geometry for more than 20 years. This volume contains 13 original research articles covering geometric error correcting codes, and algorithmic and explicit arithmetic geometry of curves and higher dimensional varieties. Tools used in these articles include classical algebraic geometry of curves, varieties and Jacobians, Suslin homology, Monsky-Washnitzer cohomology, and $L$-functions of modular forms. Full Product DetailsAuthor: Stephane Ballet , Marc Perret , Alexey ZaytsevPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 637 Weight: 0.445kg ISBN: 9781470414610ISBN 10: 1470414619 Pages: 306 Publication Date: 30 June 2015 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsGeometric error correcting codes: On products and powers of linear codes under componentwise multiplication by H. Randriambololona Higher weights of affine Grassmann codes and their duals by M. Datta and S. R. Ghorpade Algorithmic: Special varieties: The geometry of efficient arithmetic on elliptic curves by D. Kohel 2-2-2 isogenies between Jacobians of hyperelliptic curves by I. Boyer Easy scalar decompositions for efficient scalar multiplication on elliptic curves and genus 2 Jacobians by B. Smith Algorithmic: Point counting: A point counting algorithm for cyclic covers of the projective line by C. Goncalves Point counting on non-hyperelliptic genus 3 curves with automorphism group $\mathbb{Z}/2\mathbb{Z}$ using Monsky-Washnitzer cohomology by Y.-D. Shieh Wiman's and Edge's sextic attaining Serre's bound II by M. Q. Kawakita Algorithmic: General: Genetics of polynomials over local fields by J. Guardia and E. Nart Explicit algebraic geometry: Explicit equations of optimal curves of genus 3 over certain finite fields with three parameters by E. Alekseenko and A. Zaytsev Smooth embeddings for the Suzuki and Ree curves by A. Eid and I. Duursma Arithmetic geometry: Uniform distribution of zeroes of $L$-functions of modular forms by A. Zykin A survey on class field theory for varieties by A. SchmidtReviewsAuthor InformationStephane Ballet, Aix-Marseille University, France. Marc Perret, Universite de Toulouse II Le Mirail, France. Alexey Zaytsev, Immanuel Kant Baltic Federal University, Kaliningrad, Russia. Tab Content 6Author Website:Countries AvailableAll regions |
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