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Product Code:  CONM/770.E 
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AMS Member Price:  $97.60 
Softcover ISBN:  9781470454265 
eBook ISBN:  9781470464264 
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Book DetailsContemporary MathematicsVolume: 770; 2021; 303 ppMSC: Primary 11; 14; 20; 51; 94
This volume contains the proceedings of the 17th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC^{2}T17), held from June 10–14, 2019, at the Centre International de Rencontres Mathématiques in Marseille, France. The conference was dedicated to the memory of Gilles Lachaud, one of the founding fathers of the AGC^{2}T series.
Since the first meeting in 1987 the biennial AGC^{2}T meetings have brought together the leading experts on arithmetic and algebraic geometry, and the connections to coding theory, cryptography, and algorithmic complexity. This volume highlights important new developments in the field.
ReadershipGraduate students and research mathematicians interested in explicit methods in arithmetic and algebraic geometry with applications to coding theory, cryptography and algorithmic complexity.

Table of Contents

Articles

Salam A. F. Alabdullah and James W. P. Hirschfeld — A new upper bound for the largest complete \boldmath$(k,n)$arc in \boldmath$\mathrm {PG}(2,q)$

Yves Aubry, Elena Berardini, Fabien Herbaut and Marc Perret — Bounds on the minimum distance of algebraic geometry codes defined over some families of surfaces

Stéphane Ballet, Gilles Lachaud and Robert Rolland — On the number of effective divisors in algebraic function fields defined over a finite field

Alina Carmen Cojocaru and Matthew Fitzpatrick — The absolute discriminant of the endomorphism ring of most reductions of a nonCM elliptic curve is close to maximal

Alain Couvreur, Philippe Lebacque and Marc Perret — Toward good families of codes from towers of surfaces

Francesc Fité, Kiran S. Kedlaya and Andrew V. Sutherland — Sato–Tate groups of abelian threefolds: a preview of the classification

Sudhir R. Ghorpade, Christophe Ritzenthaler, François Rodier and Michael A. Tsfasman — Arithmetic, Geometry, and Coding Theory: Homage to Gilles Lachaud

Richard Griffon and Guus de Wit — Elliptic curves with large Tate–Shafarevich groups over \boldmath$\mathbb {F}_q(t)$

David Kohel and YihDar Shieh — On Sato–Tate distributions, extremal traces, and real multiplication in genus 2

Gilles Lachaud — La trace et le deltoïde de \boldmath$\boldsymbol {\operatorname {SU}}(3)$

Reynald Lercier, Elisa Lorenzo García and Christophe Ritzenthaler — Stable models of plane quartics with hyperelliptic reduction

JeanFrançois Mestre — Courbes de genre \boldmath$3$ avec \boldmath$S_3$ comme groupe d’automorphismes

Fabien Pazuki — Bornes sur le nombre de points rationnels des courbes : en quête d’uniformité

Hugues Randriambololona — The quadratic hull of a code and the geometric view on multiplication algorithms

Jaap Top — Serre’s genus fifty example


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This volume contains the proceedings of the 17th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC^{2}T17), held from June 10–14, 2019, at the Centre International de Rencontres Mathématiques in Marseille, France. The conference was dedicated to the memory of Gilles Lachaud, one of the founding fathers of the AGC^{2}T series.
Since the first meeting in 1987 the biennial AGC^{2}T meetings have brought together the leading experts on arithmetic and algebraic geometry, and the connections to coding theory, cryptography, and algorithmic complexity. This volume highlights important new developments in the field.
Graduate students and research mathematicians interested in explicit methods in arithmetic and algebraic geometry with applications to coding theory, cryptography and algorithmic complexity.

Articles

Salam A. F. Alabdullah and James W. P. Hirschfeld — A new upper bound for the largest complete \boldmath$(k,n)$arc in \boldmath$\mathrm {PG}(2,q)$

Yves Aubry, Elena Berardini, Fabien Herbaut and Marc Perret — Bounds on the minimum distance of algebraic geometry codes defined over some families of surfaces

Stéphane Ballet, Gilles Lachaud and Robert Rolland — On the number of effective divisors in algebraic function fields defined over a finite field

Alina Carmen Cojocaru and Matthew Fitzpatrick — The absolute discriminant of the endomorphism ring of most reductions of a nonCM elliptic curve is close to maximal

Alain Couvreur, Philippe Lebacque and Marc Perret — Toward good families of codes from towers of surfaces

Francesc Fité, Kiran S. Kedlaya and Andrew V. Sutherland — Sato–Tate groups of abelian threefolds: a preview of the classification

Sudhir R. Ghorpade, Christophe Ritzenthaler, François Rodier and Michael A. Tsfasman — Arithmetic, Geometry, and Coding Theory: Homage to Gilles Lachaud

Richard Griffon and Guus de Wit — Elliptic curves with large Tate–Shafarevich groups over \boldmath$\mathbb {F}_q(t)$

David Kohel and YihDar Shieh — On Sato–Tate distributions, extremal traces, and real multiplication in genus 2

Gilles Lachaud — La trace et le deltoïde de \boldmath$\boldsymbol {\operatorname {SU}}(3)$

Reynald Lercier, Elisa Lorenzo García and Christophe Ritzenthaler — Stable models of plane quartics with hyperelliptic reduction

JeanFrançois Mestre — Courbes de genre \boldmath$3$ avec \boldmath$S_3$ comme groupe d’automorphismes

Fabien Pazuki — Bornes sur le nombre de points rationnels des courbes : en quête d’uniformité

Hugues Randriambololona — The quadratic hull of a code and the geometric view on multiplication algorithms

Jaap Top — Serre’s genus fifty example