| Description |
1 online resource. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Lecture notes series on computing ; v. 13
|
|
Lecture notes series on computing ; v. 13.
|
| Bibliography |
Includes bibliographical references. |
| Summary |
The development of new computational techniques and better computing power has made it possible to attack some classical problems of algebraic geometry. The main goal of this book is to highlight such computational techniques related to algebraic curves. The area of research in algebraic curves is receiving more interest not only from the mathematics community, but also from engineers and computer scientists, because of the importance of algebraic curves in applications including cryptography, coding theory, error-correcting codes, digital imaging, computer vision, and many more. This book covers a wide variety of topics in the area, including elliptic curve cryptography, hyperelliptic curves, representations on some Riemann-Roch spaces of modular curves, computation of Hurwitz spectra, generating systems of finite groups, Galois groups of polynomials, among other topics. |
| Contents |
1. Preface -- 2. Foreword by the editor -- 3. A new proof for the non-degeneracy of the Frey-Rück pairing and a connection to isogenics over the base field / E.F. Schaefer -- 4. Elliptic curve torsion points and division polynomials / I.A. Burhanuddin and M.A. Huang -- 5. Detecting complex multiplication / J.D. Achter -- 6. Simple numerical uniformatization of elliptic curves / M. Seppälä -- 7. On the moduli space of Klein four covers of the projective line / D. Glass and R. Pries -- 8. Field of moduli and field of definition for curves of genus 2 / G. Cardona and J. Quer -- 9. Explicit computation of Hurwitz spectra / R. Vogeler -- 10. Non-normal Belyi p-gonal surfaces / A. Wootton -- 11. Hyperelliptic curves of genus 3 with prescribed automorphism group / J. Gutierrez, D. Sevilla, and T. Shaska -- 12. Curves over finite fields with many points : an introduction / J. Voight -- 13. Hyperelliptic curves of genus 3 and 4 in characteristic 2 / Y. Demirbas -- 14. Modular representations on some Riemann-Roch spaces of modular curves X(N) / D. Joyner and A. Ksir -- 15. Genus two curves covering elliptic curves : a computational approach / T. Shaska -- 16. A question about Pic(X) as a G-module / D. Goldstein, R. Guralnick, and D. Joyner -- 17. Galois groups of prime degree polynomials with nonreal roots / A. Bialostocki and T. Shaska -- 18. Counting generating systems of a finite group from given conjugacy classes / R. Staszewski, H. Völklein, and G. Wiesend -- 19. Group action on genus 3 curves and their Weierstrass points / H. Babu and P. Venkataraman. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Curves, Algebraic -- Data processing -- Congresses.
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Curves, Algebraic -- Data processing. |
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Curves, Algebraic. |
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Geometry, Algebraic -- Data processing -- Congresses.
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Geometry, Algebraic -- Data processing. |
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Geometry, Algebraic. |
| Genre/Form |
Electronic books.
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Conference papers and proceedings.
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Electronic books.
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Conference papers and proceedings.
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| Added Author |
Shaska, Tony, 1967-
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| ISBN |
9789812701640 (electronic book) |
|
9812701648 (electronic book) |
|
9812564594 |
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9789812564597 |
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