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Hyperelliptic curve
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#	Item
101	An Explicit Theory of Heights E. V. Flynn, Mathematical Institute, University of Oxford Abstract We consider the problem of explicitly determining the naive height constants for Jacobians of hyperelliptic curves. For gen Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:37 Symbol Analytic number theory Elliptic curve Group theory
102	A HYPERELLIPTIC SMOOTHNESS TEST, II H. W. LENSTRA Jr, J. PILA and CARL POMERANCE [Received 28 June[removed]Contents 1. Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-02 15:21:08 Algebraic curves Polynomials Analytic number theory Algebraic surfaces Elliptic curve Abelian variety Lenstra elliptic curve factorization Field Intersection number Abstract algebra Algebra Niels Henrik Abel
103	2014 ARIZONA WINTER SCHOOL: ARITHMETIC STATISTICS STATISTICS FOR ZEROES OF L-FUNCTIONS OF CURVES OVER FINITE FIELDS CHANTAL DAVID The lectures will be concerned with statistics for the zeroes of L-functions in natural fa Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2013-12-17 13:57:57 Algebraic number theory Field theory Hyperelliptic curve Peter Sarnak Elliptic curve Zeta function L-function Algebraic number field Abstract algebra Algebraic curves Analytic number theory
104	CURVES AND ZETA FUNCTIONS OVER FINITE FIELDS POSSIBLE PROJECTS CHANTAL DAVID, CONCORDIA UNIVERSITY ASSISTANT: ALINA BUCUR, UCSD For background material, and more details about the projects, see the notes. Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2014-03-13 18:22:53 Algebra Hyperelliptic curve Moduli space Elliptic curve Gonality of an algebraic curve Artin–Schreier theory L-function Zeta function Curve Abstract algebra Algebraic curves Geometry
105	Miscellaneous preliminaries on arithmetic geometry One definition of a hyperelliptic curve is a curve C over an algebraically closed field k whose function field K is a degree 2 extension of a purely transcendental exten Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2014-03-13 03:49:03 Homological algebra Finite fields Fixed points Field theory Mathematical series Elliptic curve Weil conjectures Projective space Formal power series Abstract algebra Mathematics Algebra
106	The state-of-the-art in hyperelliptic curve cryptography Craig Costello Workshop on Curves and Applications Add to Reading List Source URL: www.mathtube.org Language: English - Date: 2013-09-20 13:09:55 Finite fields Public-key cryptography Cryptographic protocols Hyperelliptic curve cryptography Hyperelliptic curve Elliptic curve cryptography Diffie–Hellman key exchange Diffie–Hellman problem Abelian variety Cryptography Abstract algebra Algebraic curves
107	References [1] M. Agrawal, N. Kayal, and N. Saxena. PRIMES is in P. Ann. of Math. (2), 160(2):781–793, [removed]L. V. Ahlfors. Complex Analysis. McGraw-Hill Book Co., New York, third edition, 1978. An introduction to Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2008-03-20 11:42:48 Elliptic curves Public-key cryptography Elliptic curve cryptography NTRU Elliptic Curve DSA Lattice problem Counting points on elliptic curves Hyperelliptic curve cryptography Elliptic curve Cryptography Post-quantum cryptography Finite fields
108	Post-Quantum Cryptography Tanja Lange Technische Universiteit Eindhoven [removed] 17 December 2008 Add to Reading List Source URL: hyperelliptic.org Language: English - Date: 2009-01-22 19:45:07 Post-quantum cryptography Quantum cryptography Key size Quantum computer NTRU Digital signature Elliptic Curve DSA Cipher XTR Cryptography Public-key cryptography Key management
109	9th Central European Conference on Cryptography - Tˇ reb´ıˇ c’09 Add to Reading List Source URL: conf.fme.vutbr.cz Language: English - Date: 2009-05-12 03:20:24 Algebraic curves Group theory Cryptography Finite fields Hyperelliptic curve cryptography Public-key cryptography Imaginary hyperelliptic curve Real hyperelliptic curve Elliptic curve cryptography Abstract algebra Algebra Mathematics
110	LACUNARY WRONSKIANS ON GENUS ONE CURVES GREG W. ANDERSON Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2004-09-18 14:03:12 Divisor Riemann–Roch theorem Polynomials Commutative algebra Localization Imaginary hyperelliptic curve Factorization of polynomials over a finite field and irreducibility tests Abstract algebra Algebraic geometry Mathematics