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Arithmetic Geometry -

Arithmetic Geometry

Computation and Applications
Buch | Softcover
175 Seiten
2019
American Mathematical Society (Verlag)
978-1-4704-4212-5 (ISBN)
CHF 209,95 inkl. MwSt
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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.
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.

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.

J. 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.

Erscheinungsdatum
Reihe/Serie Contemporary Mathematics
Verlagsort Providence
Sprache englisch
Maße 178 x 254 mm
Gewicht 275 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-4704-4212-4 / 1470442124
ISBN-13 978-1-4704-4212-5 / 9781470442125
Zustand Neuware
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