| Softcover ISBN: | 978-1-4704-1461-0 |
| Product Code: | CONM/637 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-1-4704-2339-1 |
| Product Code: | CONM/637.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-1461-0 |
| eBook: ISBN: | 978-1-4704-2339-1 |
| Product Code: | CONM/637.B |
| List Price: | $255.00 $192.50 |
| MAA Member Price: | $229.50 $173.25 |
| AMS Member Price: | $204.00 $154.00 |
| Softcover ISBN: | 978-1-4704-1461-0 |
| Product Code: | CONM/637 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-1-4704-2339-1 |
| Product Code: | CONM/637.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-1461-0 |
| eBook ISBN: | 978-1-4704-2339-1 |
| Product Code: | CONM/637.B |
| List Price: | $255.00 $192.50 |
| MAA Member Price: | $229.50 $173.25 |
| AMS Member Price: | $204.00 $154.00 |
-
Book DetailsContemporary MathematicsVolume: 637; 2015; 306 ppMSC: Primary 11; 14; 94
This volume contains the proceedings of the 14th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGCT), held June 3–7, 2013, at CIRM, Marseille, France.
These international conferences, held every two years, have been a major event in the area of algorithmic and applied arithmetic geometry for more than 20 years.
This volume contains 13 original research articles covering geometric error correcting codes, and algorithmic and explicit arithmetic geometry of curves and higher dimensional varieties. Tools used in these articles include classical algebraic geometry of curves, varieties and Jacobians, Suslin homology, Monsky–Washnitzer cohomology, and \(L\)-functions of modular forms.
ReadershipGraduate students and research mathematicians interested in algebraic geometry and related topics of coding theory.
-
Table of Contents
-
Geometric error correcting codes
-
Hugues Randriambololona — On products and powers of linear codes under componentwise multiplication
-
Mrinmoy Datta and Sudhir R. Ghorpade — Higher weights of affine Grassmann codes and their duals
-
Algorithmic: Special varieties
-
David Kohel — The geometry of efficient arithmetic on elliptic curves
-
Ivan Boyer — 2–2–2 isogenies between Jacobians of hyperelliptic curves
-
Benjamin Smith — Easy scalar decompositions for efficient scalar multiplication on elliptic curves and genus 2 Jacobians
-
Algorithmic: Point counting
-
Cécile Gonçalves — A point counting algorithm for cyclic covers of the projective line
-
Yih-Dar Shieh — Point Counting on Non-Hyperelliptic Genus 3 Curves with Automorphism Group $\mathbb {Z} / 2 \mathbb {Z}$ using Monsky-Washnitzer Cohomology
-
Motoko Qiu Kawakita — Wiman’s and Edge’s sextic attaining Serre’s bound II
-
Algorithmic: General
-
Jordi Guàrdia and Enric Nart — Genetics of polynomials over local fields
-
Explicit algebraic geometry
-
Ekaterina Alekseenko and Alexey Zaytsev — Explicit equations of optimal curves of genus 3 over certain finite fields with three parameters
-
Abdulla Eid and Iwan Duursma — Smooth Embeddings for the Suzuki and Ree Curves
-
Arithmetic geometry
-
Alexey Zykin — Uniform distribution of zeroes of $L$-functions of modular forms
-
Alexander Schmidt — A survey on class field theory for varieties
-
-
Additional Material
-
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
This volume contains the proceedings of the 14th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGCT), held June 3–7, 2013, at CIRM, Marseille, France.
These international conferences, held every two years, have been a major event in the area of algorithmic and applied arithmetic geometry for more than 20 years.
This volume contains 13 original research articles covering geometric error correcting codes, and algorithmic and explicit arithmetic geometry of curves and higher dimensional varieties. Tools used in these articles include classical algebraic geometry of curves, varieties and Jacobians, Suslin homology, Monsky–Washnitzer cohomology, and \(L\)-functions of modular forms.
Graduate students and research mathematicians interested in algebraic geometry and related topics of coding theory.
-
Geometric error correcting codes
-
Hugues Randriambololona — On products and powers of linear codes under componentwise multiplication
-
Mrinmoy Datta and Sudhir R. Ghorpade — Higher weights of affine Grassmann codes and their duals
-
Algorithmic: Special varieties
-
David Kohel — The geometry of efficient arithmetic on elliptic curves
-
Ivan Boyer — 2–2–2 isogenies between Jacobians of hyperelliptic curves
-
Benjamin Smith — Easy scalar decompositions for efficient scalar multiplication on elliptic curves and genus 2 Jacobians
-
Algorithmic: Point counting
-
Cécile Gonçalves — A point counting algorithm for cyclic covers of the projective line
-
Yih-Dar Shieh — Point Counting on Non-Hyperelliptic Genus 3 Curves with Automorphism Group $\mathbb {Z} / 2 \mathbb {Z}$ using Monsky-Washnitzer Cohomology
-
Motoko Qiu Kawakita — Wiman’s and Edge’s sextic attaining Serre’s bound II
-
Algorithmic: General
-
Jordi Guàrdia and Enric Nart — Genetics of polynomials over local fields
-
Explicit algebraic geometry
-
Ekaterina Alekseenko and Alexey Zaytsev — Explicit equations of optimal curves of genus 3 over certain finite fields with three parameters
-
Abdulla Eid and Iwan Duursma — Smooth Embeddings for the Suzuki and Ree Curves
-
Arithmetic geometry
-
Alexey Zykin — Uniform distribution of zeroes of $L$-functions of modular forms
-
Alexander Schmidt — A survey on class field theory for varieties
