Arithmetic Geometry

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For thirty years, the biennial international conference AGC^2T (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 …

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Title Statements

Full title :Arithmetic Geometry

Summary

Edition Statements

Publication Date:2019.

Publication Statements

Publisher(s):American mathematical Society
Place of Publication:Providence
Language:eng
Publication Date:2019.

Notes

5. Factoring polynomials over finite fields

The Physical Object

Description:1 online resource (186 pages)

Edition Identifiers

ISBN:9781470451042, 1470451042
oclc:on1083465643
LC Classification:QA268
Dewey Decimal:512.74

Cover; Title page; Contents; Preface; Hasse-Witt and Cartier-Manin matrices: A warning and a request; Prologue; 1. Matrices and semilinear algebra; 2. Hasse-Witt and Cartier-Manin matrices; 3. Cartier-Manin matrices for hyperelliptic curves; 4. Hasse-Witt matrices through the ages; 5. Subsequent developments; 6. Conclusion; References; Works that cite Manin (1961) or Yui (1978); Analogues of Brauer-Siegel theorem in arithmetic geometry; Introduction; 1. Classical Brauer-Siegel theorems; 2. Zeta and -functions; 3. Abelian varieties and surfaces; 4. Generalisations

5. Theorems and conjectures of Brauer-Siegel typeReferences; The Belyi degree of a curve is computable; 1. Introduction; Acknowledgements; 2. The Belyi degree; 3. First proof of Theorem 1.2; 4. Second proof of Theorem 1.2; 5. The Fermat curve of degree four; References; Weight enumerators of Reed-Muller codes from cubic curves and their duals; 1. Introduction; 2. Singular projective plane cubic curves; 3. Smooth projective plane cubic curves; 4. Low-weight coefficients of _{ _{2,3}^{\perp}}(,); 5. Singular affine plane cubic curves; 6. Smooth affine plane cubic curves

7. Low-weight coefficients of _{(^{ }_{2,3})^{\perp}…

Subjects

Coding theory Coding theory -- Congresses Conference papers and proceedings Cryptographie -- Congrès Cryptography Cryptography -- Congresses Géométrie algébrique -- Congrès Geometry, Algebraic Geometry, Algebraic -- Congresses Number theory Number theory -- Congresses Théorie des nombres -- Congrès