Arithmetic Geometry

Computation and Applications

AvYves Aubry,Everett W. Howe

Häftad, Engelska, 2019

Del i serien Contemporary Mathematics

1 453 kr

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Beskrivning

For 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.

Produktinformation

Utgivningsdatum:2019-02-28
Mått:178 x 254 x undefined mm
Vikt:275 g
Format:Häftad
Språk:Engelska
Serie:Contemporary Mathematics
Antal sidor:175
Förlag:American Mathematical Society
ISBN:9781470442125

Utforska kategorier

Talteori inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Mer om författaren

Yves Aubry, Institut de Mathematiques de Toulon - IMATH, La Garde, France, and Institut de Mathematiques de Marseille - I2M, France.Everett W. Howe, Center for Communications Research, La Jolla, CA.Christophe Ritzenthaler, Institut de Recherche Mathematiques de Rennes (IRMAR), France.

Innehållsförteckning

J. D. Achter and E. W. Howe, Hasse-Witt and Cartier-Manin matrices: A warning and a requestM. Hindry, Analogues of Brauer-Siegel theorem in arithmetic geometryJ. Javanpeykar and J. Voight, The Belyi degree of a curve is computableN. Kaplan, Weight enumerators of Reed-Muller codes from cubic curves and their dualsG. 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 curvesF. Pazuki, Decompositions en hauteurs localesB. Poonen, Using zeta functions to factor polynomials over finite fieldsJ. Sijsling, Canonical models of arithmetic $(1;\infty)$-curvesA. V. Sutherland and J. F. Voloch, Maps between curves and arithmetic obstructions.