About this product

Product Identifiers

PublisherAmerican Mathematical Society

ISBN-101470442124

ISBN-139781470442125

eBay Product ID (ePID)27038747404

Product Key Features

Number of Pages176 Pages

LanguageEnglish

Publication NameArithmetic Geometry : Computation and Applications

Publication Year2019

SubjectInformation Theory, Communication Studies, Number Theory, Geometry / Algebraic

TypeTextbook

AuthorEverett W. Howe

Subject AreaMathematics, Computers, Language Arts & Disciplines

SeriesContemporary Mathematics Ser.

FormatTrade Paperback

Dimensions

Item Height0.8 in

Item Weight9.7 Oz

Item Length10 in

Item Width7 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN2018-037194

Series Volume Number722

IllustratedYes

Table Of ContentJ. D. Achter and E. W. Howe, Hasse-Witt and Cartier-Manin matrices: A warning and a request M. Hindry, Analogues of Brauer-Siegel theorem in arithmetic geometry J. Javanpeykar and J. Voight, The Belyi degree of a curve is computable N. Kaplan, Weight enumerators of Reed-Muller codes from cubic curves and their duals G. Lachaud, The distribution of the trace in the compact group of type $G_2$ B. Malmskog, R. Pries, and C. Weir, The de Rham cohomology of the Suzuki curves F. Pazuki, Decompositions en hauteurs locales B. Poonen, Using zeta functions to factor polynomials over finite fields J. Sijsling, Canonical models of arithmetic $(1;\infty)$-curves A. V. Sutherland and J. F. Voloch, Maps between curves and arithmetic obstructions.

SynopsisFor 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., Presents 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.

LC Classification NumberQA268.I57 2017