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Short signatures from the Weil pairing
, 2001
"... Abstract. We introduce a short signature scheme based on the Computational DiffieHellman assumption on certain elliptic and hyperelliptic curves. The signature length is half the size of a DSA signature for a similar level of security. Our short signature scheme is designed for systems where signa ..."
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Cited by 743 (28 self)
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Abstract. We introduce a short signature scheme based on the Computational DiffieHellman assumption on certain elliptic and hyperelliptic curves. The signature length is half the size of a DSA signature for a similar level of security. Our short signature scheme is designed for systems where
Determining the automorphism group of hyperelliptic curves
 Proceedings of the 2003 International Symposium on Symbolic and Algebraic Computation
, 2003
"... In this note we discuss techniques for determining the automorphism group of a genus g hyperelliptic curve Xg defined over an algebraically closed field k of characteristic zero. The first technique uses the classical GL2(k)invariants of binary forms. This is a practical method for curves of small ..."
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Cited by 20 (7 self)
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In this note we discuss techniques for determining the automorphism group of a genus g hyperelliptic curve Xg defined over an algebraically closed field k of characteristic zero. The first technique uses the classical GL2(k)invariants of binary forms. This is a practical method for curves of small
CFT’s from CalabiYau Fourfolds
 Nucl. Phys. B584
"... We consider F/M/Type IIA theory compactified to four, three, or two dimensions on a CalabiYau fourfold, and study the behavior near an isolated singularity in the presence of appropriate fluxes and branes. We analyze the vacuum and soliton structure of these models, and show that near an isolated ..."
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Cited by 277 (14 self)
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We consider F/M/Type IIA theory compactified to four, three, or two dimensions on a CalabiYau fourfold, and study the behavior near an isolated singularity in the presence of appropriate fluxes and branes. We analyze the vacuum and soliton structure of these models, and show that near an isolated singularity, one often generates massless chiral superfields and a superpotential, and in many instances in two or three dimensions one obtains nontrivial superconformal field theories. In the case of two dimensions, we identify some of these theories with certain KazamaSuzuki coset models, such as the N = 2 minimal models. June
CHARACTERISTIC POLYNOMIALS OF AUTOMORPHISMS OF HYPERELLIPTIC CURVES
, 804
"... Abstract. Let α be an automorphism of a hyperelliptic curve C of genus g and let α be the automorphism induced by α on the genus0 quotient of C by the hyperelliptic involution. Let n be the order of α and let n be the order of α. We show that the characteristic polynomial f of the automorphism α ∗ ..."
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Abstract. Let α be an automorphism of a hyperelliptic curve C of genus g and let α be the automorphism induced by α on the genus0 quotient of C by the hyperelliptic involution. Let n be the order of α and let n be the order of α. We show that the characteristic polynomial f of the automorphism α
Varieties Without Extra Automorphisms II: Hyperelliptic Curves
 Math. Res. Letters
, 1999
"... . For any field k and integer g # 2, we construct a hyperelliptic curve X over k of genus g such that #(AutX) = 2. We also prove the existence of principally polarized abelian varieties (A, #) over k of prescribed dimension g # 1 such that Aut(A, #) = {1}. 1. Introduction If X is a (smooth, p ..."
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Cited by 14 (3 self)
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for hyperelliptic curves. If X is a hyperelliptic curve, then X has a nontrivial automorphism, namely the hyperelliptic involution #, so our result takes the following form: Theorem 1. For any field k and integer g # 2, there exists a hyperelliptic curve X over k of genus g such that Aut X = {1, #}. As a
Computing the Automorphism Groups of Hyperelliptic Function Fields
 AVAILABLE: HTTP://FRONT.MATH.UCDAVIS.EDU/MATH.NT/0305284
, 2003
"... In this talk, an efficient method to compute the automorphism group of an arbitrary hyperelliptic function field over a given ground field of characteristic> 2 as well as over its algebraic extensions is presented. Beside theoretical applications, knowing the automorphism group of a hyperelliptic ..."
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Cited by 6 (0 self)
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In this talk, an efficient method to compute the automorphism group of an arbitrary hyperelliptic function field over a given ground field of characteristic> 2 as well as over its algebraic extensions is presented. Beside theoretical applications, knowing the automorphism group of a
Results 1  10
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3,327