Advances on superelliptic curves and their applications / / edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa |
Pubbl/distr/stampa | Amsterdam, Netherlands : , : IOS Press, , 2015 |
Descrizione fisica | 1 online resource (387 p.) |
Disciplina | 516.352 |
Collana | NATO Science for Peace and Security Series - D: Information and Communication Security |
Soggetto topico |
Curves, Elliptic
Cryptography |
Soggetto genere / forma | Electronic books. |
ISBN | 1-61499-520-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Advances on Superelliptic Curves and Their Applications""; ""Preface ""; ""Contents""; ""The case for superelliptic curves""; ""Weierstrass points of superelliptic curves""; ""Theta functions of superelliptic curves""; ""Cyclic curves over the reals""; ""Reduction theory of binary forms""; ""Sato-Tate groups of genus 2 curves""; ""Heights on algebraic curves""; ""Descent and Covering Collections""; ""Chabauty and theMordell-Weil Sieve""; ""Rational points on Jacobians of hyperelliptic curves""; ""Explicit p-adic methods for elliptic and hyperelliptic curves""
""Error Correcting Quantum Codes and Algebraic Curves""""Graph based cubical multivariate maps and their cryptographical applications""; ""Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes""; ""Galois geometries, codes, and new invariants for incidence structures""; ""Subject Index""; ""Author Index"" |
Record Nr. | UNINA-9910460487603321 |
Amsterdam, Netherlands : , : IOS Press, , 2015 | ||
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Lo trovi qui: Univ. Federico II | ||
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Advances on superelliptic curves and their applications / / edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa |
Pubbl/distr/stampa | Amsterdam, Netherlands : , : IOS Press, , 2015 |
Descrizione fisica | 1 online resource (387 p.) |
Disciplina | 516.352 |
Collana | NATO Science for Peace and Security Series - D: Information and Communication Security |
Soggetto topico |
Curves, Elliptic
Cryptography |
ISBN | 1-61499-520-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Advances on Superelliptic Curves and Their Applications""; ""Preface ""; ""Contents""; ""The case for superelliptic curves""; ""Weierstrass points of superelliptic curves""; ""Theta functions of superelliptic curves""; ""Cyclic curves over the reals""; ""Reduction theory of binary forms""; ""Sato-Tate groups of genus 2 curves""; ""Heights on algebraic curves""; ""Descent and Covering Collections""; ""Chabauty and theMordell-Weil Sieve""; ""Rational points on Jacobians of hyperelliptic curves""; ""Explicit p-adic methods for elliptic and hyperelliptic curves""
""Error Correcting Quantum Codes and Algebraic Curves""""Graph based cubical multivariate maps and their cryptographical applications""; ""Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes""; ""Galois geometries, codes, and new invariants for incidence structures""; ""Subject Index""; ""Author Index"" |
Record Nr. | UNINA-9910797481803321 |
Amsterdam, Netherlands : , : IOS Press, , 2015 | ||
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Lo trovi qui: Univ. Federico II | ||
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Advances on superelliptic curves and their applications / / edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa |
Pubbl/distr/stampa | Amsterdam, Netherlands : , : IOS Press, , 2015 |
Descrizione fisica | 1 online resource (387 p.) |
Disciplina | 516.352 |
Collana | NATO Science for Peace and Security Series - D: Information and Communication Security |
Soggetto topico |
Curves, Elliptic
Cryptography |
ISBN | 1-61499-520-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Advances on Superelliptic Curves and Their Applications""; ""Preface ""; ""Contents""; ""The case for superelliptic curves""; ""Weierstrass points of superelliptic curves""; ""Theta functions of superelliptic curves""; ""Cyclic curves over the reals""; ""Reduction theory of binary forms""; ""Sato-Tate groups of genus 2 curves""; ""Heights on algebraic curves""; ""Descent and Covering Collections""; ""Chabauty and theMordell-Weil Sieve""; ""Rational points on Jacobians of hyperelliptic curves""; ""Explicit p-adic methods for elliptic and hyperelliptic curves""
""Error Correcting Quantum Codes and Algebraic Curves""""Graph based cubical multivariate maps and their cryptographical applications""; ""Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes""; ""Galois geometries, codes, and new invariants for incidence structures""; ""Subject Index""; ""Author Index"" |
Record Nr. | UNINA-9910826170403321 |
Amsterdam, Netherlands : , : IOS Press, , 2015 | ||
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Lo trovi qui: Univ. Federico II | ||
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Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 / / Barry Mazur, Nicholas M. Katz |
Autore | Katz Nicholas M. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (532 pages) : illustrations |
Disciplina | 516.3/5 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Curves, Elliptic
Moduli theory Geometry, Algebraic |
Soggetto non controllato |
Abelian variety
Addition Algebraic variety Algebraically closed field Ambient space Arithmetic Axiom Barry Mazur Base change Calculation Canonical map Change of base Closed immersion Coefficient Coherent sheaf Cokernel Commutative property Congruence relation Coprime integers Corollary Cusp form Cyclic group Dense set Diagram (category theory) Dimension Discrete valuation ring Disjoint union Divisor Eigenfunction Elliptic curve Empty set Factorization Field of fractions Finite field Finite group Finite morphism Free module Functor Group (mathematics) Integer Irreducible component Level structure Local ring Maximal ideal Modular curve Modular equation Modular form Moduli space Morphism of schemes Morphism Neighbourhood (mathematics) Noetherian One-parameter group Open problem Prime factor Prime number Prime power Q.E.D. Regularity theorem Representation theory Residue field Riemann hypothesis Smoothness Special case Subgroup Subring Subset Theorem Topology Two-dimensional space Zariski topology |
ISBN | 1-4008-8171-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- Chapter 1. GENERALITIES ON " A-STRUCTURES" AND " A-GENERATORS" -- Chapter 2. REVIEW OF ELLIPTIC CURVES -- Chapter 3. THE FOUR BASIC MODULI PROBLEMS FOR ELLIPTIC CURVES: SORITES -- Chapter 4. THE FORMALISM OF MODULI PROBLEMS -- Chapter 5. REGULARITY THEOREMS -- Chapter 6. CYCLICITY -- Chapter 7. QUOTIENTS BY FINITE GROUPS -- Chapter 8. COARSE MODULI SCHEMES, CUSPS, AND COMPACTIFICATION -- Chapter 9. MODULI PROBLEMS VIEWED OVER CYCLOTOMIC INTEGER RINGS -- Chapter 10. THE CALCULUS OF CUSPS AND COMPONENTS VIA THE GROUPS T[N], AND THE GLOBAL STRUCTURE OF THE BASIC MODULI PROBLEMS -- Chapter 11. INTERLUDE-EXOTIC MODULAR MORPHISMS AND ISOMORPHISMS -- Chapter 12. NEW MODULI PROBLEMS IN CHARACTERISTIC p; IGUSA CURVES -- Chapter 13. REDUCTIONS mod p OF THE BASIC MODULI PROBLEMS -- Chapter 14. APPLICATION TO THEOREMS OF GOOD REDUCTION -- NOTES ADDED IN PROOF -- REFERENCES |
Record Nr. | UNINA-9910154753303321 |
Katz Nicholas M.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Arithmetic on elliptic curves with complex multiplication / / Benedict H. Gross ; with an appendix by B. Mazur |
Autore | Gross Benedict H. <1950-> |
Edizione | [1st ed. 1980.] |
Pubbl/distr/stampa | Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1980] |
Descrizione fisica | 1 online resource (VIII, 100 p.) |
Disciplina | 516.352 |
Collana | Lecture notes in mathematics (Springer-Verlag) |
Soggetto topico |
Curves, Elliptic
Multiplication, Complex |
ISBN | 3-540-38575-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Acknowledgements -- Notation and conventions -- The theory of complex multiplication -- A classification -- Local arithmetic -- Global arithmetic -- The Q-curve A(p). |
Record Nr. | UNISA-996466629903316 |
Gross Benedict H. <1950->
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Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1980] | ||
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Lo trovi qui: Univ. di Salerno | ||
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Diophantine m-tuples and elliptic curves / / Andrej Dujella |
Autore | Dujella Andrej |
Pubbl/distr/stampa | Cham : , : Springer, , [2024] |
Descrizione fisica | 1 online resource (343 pages) |
Disciplina | 512.7 |
Collana | Developments in mathematics |
Soggetto topico |
Diophantine analysis
Curves, Elliptic Number theory Number Theory |
ISBN |
9783031567247
9783031567230 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction -- Elliptic curves over the rationals -- Elliptic curves induced by Diophantine triples -- Integer points on elliptic curves -- Sets with the property D(n). |
Record Nr. | UNINA-9910865278903321 |
Dujella Andrej
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Cham : , : Springer, , [2024] | ||
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Lo trovi qui: Univ. Federico II | ||
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Elliptic curves [[electronic resource] ] : a computational approach / / Susanne Schmitt, Horst G. Zimmer ; with an appendix by Attila Pethö |
Autore | Schmitt Susanne |
Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, c2003 |
Descrizione fisica | 1 online resource (377 p.) |
Disciplina | 516.3/52 |
Altri autori (Persone) | ZimmerHorst G |
Collana | De Gruyter studies in mathematics |
Soggetto topico | Curves, Elliptic |
Soggetto genere / forma | Electronic books. |
ISBN |
1-282-19428-3
9786612194283 3-11-019801-0 |
Classificazione | SK 240 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Chapter 1. Elliptic curves -- Chapter 2. Elliptic curves over the complex numbers -- Chapter 3. Elliptic curves over finite fields -- Chapter 4. Elliptic curves over local fields -- Chapter 5. The Mordell-Weil theorem and heights -- Chapter 6. Torsion group -- Chapter 7. The rank -- Chapter 8. Basis -- Chapter 9. S-integral points -- Appendix A. Algorithmic theory of diophantine equations -- Appendix B. Multiquadratic number fields -- Back matter |
Record Nr. | UNINA-9910451756403321 |
Schmitt Susanne
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Berlin ; ; New York, : Walter de Gruyter, c2003 | ||
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Lo trovi qui: Univ. Federico II | ||
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Elliptic curves [[electronic resource] ] : a computational approach / / Susanne Schmitt, Horst G. Zimmer ; with an appendix by Attila Pethö |
Autore | Schmitt Susanne |
Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, c2003 |
Descrizione fisica | 1 online resource (377 p.) |
Disciplina | 516.3/52 |
Altri autori (Persone) | ZimmerHorst G |
Collana | De Gruyter studies in mathematics |
Soggetto topico | Curves, Elliptic |
ISBN |
1-282-19428-3
9786612194283 3-11-019801-0 |
Classificazione | SK 240 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Chapter 1. Elliptic curves -- Chapter 2. Elliptic curves over the complex numbers -- Chapter 3. Elliptic curves over finite fields -- Chapter 4. Elliptic curves over local fields -- Chapter 5. The Mordell-Weil theorem and heights -- Chapter 6. Torsion group -- Chapter 7. The rank -- Chapter 8. Basis -- Chapter 9. S-integral points -- Appendix A. Algorithmic theory of diophantine equations -- Appendix B. Multiquadratic number fields -- Back matter |
Record Nr. | UNINA-9910782193903321 |
Schmitt Susanne
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Berlin ; ; New York, : Walter de Gruyter, c2003 | ||
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Lo trovi qui: Univ. Federico II | ||
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Elliptic curves : a computational approach / Susanne Schmitt, Horst G. Zimmer ; with an appendix by Attila Pethö |
Autore | Schmitt, Susanne |
Pubbl/distr/stampa | Berlin ; New York : Walter de Gruyter, c2003 |
Descrizione fisica | ix, 367 p. ; 25 cm |
Disciplina | 516.352 |
Altri autori (Persone) | Zimmer, Horst G.author |
Collana | De Gruyter studies in mathematics ; 3 |
Soggetto topico | Curves, Elliptic |
ISBN | 3110168081 |
Classificazione |
AMS 11G05
LC QA567.2.E44S35 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000648999707536 |
Schmitt, Susanne
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Berlin ; New York : Walter de Gruyter, c2003 | ||
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Lo trovi qui: Univ. del Salento | ||
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Elliptic curves : number theory and cryptography / Lawrence C. Washington |
Autore | Washington, Lawrence C. |
Pubbl/distr/stampa | Boca Raton : Chapman & Hall/CRC, c2003 |
Descrizione fisica | xi, 428 p. : ill. ; 24 cm |
Disciplina | 516.352 |
Collana | Discrete mathematics and its applications |
Soggetto topico |
Curves, Elliptic
Number theory Cryptography |
ISBN | 1584883650 |
Classificazione |
AMS 11G05
AMS 94A60 LC QA567.2.E44W37 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000495479707536 |
Washington, Lawrence C.
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Boca Raton : Chapman & Hall/CRC, c2003 | ||
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Lo trovi qui: Univ. del Salento | ||
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