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Softcover ISBN: | 978-1-4704-4212-5 |
Product Code: | CONM/722 |
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Book DetailsContemporary MathematicsVolume: 722; 2019; 175 ppMSC: Primary 11; 14; 20
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.
ReadershipGraduate students and research mathematicians interested in arithmetic geometry and coding theory.
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Table of Contents
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Articles
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Jeffrey D. Achter and Everett W. Howe — Hasse–Witt and Cartier–Manin matrices: A warning and a request
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Marc Hindry — Analogues of Brauer-Siegel theorem in arithmetic geometry
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Ariyan Javanpeykar and John Voight — The Belyi degree of a curve is computable
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Nathan Kaplan — Weight enumerators of Reed-Muller codes from cubic curves and their duals
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Gilles Lachaud — The distribution of the trace in the compact group of type $\mathbf {G}_{2}$
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Beth Malmskog, Rachel Pries and Colin Weir — The de Rham cohomology of the Suzuki curves
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Fabien Pazuki — Décompositions en hauteurs locales
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Bjorn Poonen — Using zeta functions to factor polynomials over finite fields
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Jeroen Sijsling — Canonical models of arithmetic $(1; \infty )$-curves
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Andrew V. Sutherland and José Felipe Voloch — Maps between curves and arithmetic obstructions
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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.
Graduate students and research mathematicians interested in arithmetic geometry and coding theory.
-
Articles
-
Jeffrey D. Achter and Everett W. Howe — Hasse–Witt and Cartier–Manin matrices: A warning and a request
-
Marc Hindry — Analogues of Brauer-Siegel theorem in arithmetic geometry
-
Ariyan Javanpeykar and John Voight — The Belyi degree of a curve is computable
-
Nathan Kaplan — Weight enumerators of Reed-Muller codes from cubic curves and their duals
-
Gilles Lachaud — The distribution of the trace in the compact group of type $\mathbf {G}_{2}$
-
Beth Malmskog, Rachel Pries and Colin Weir — The de Rham cohomology of the Suzuki curves
-
Fabien Pazuki — Décompositions en hauteurs locales
-
Bjorn Poonen — Using zeta functions to factor polynomials over finite fields
-
Jeroen Sijsling — Canonical models of arithmetic $(1; \infty )$-curves
-
Andrew V. Sutherland and José Felipe Voloch — Maps between curves and arithmetic obstructions