搜索结果: 1-14 共查到“Genus Two”相关记录14条 . 查询时间(0.093 秒)
Separating Curve Complex of the Genus Two Surface is Hyperbolic
Curve Complex the Genus Two Surface Hyperbolic Geometric Topology
2011/9/8
Abstract: A proof that the separating curve complex of the closed genus two surface has a quasi-distance formula and is delta hyperbolic using tools of Masur and Schleimer. This answers in the affirma...
Lawson's genus two minimal surface and meromorphic connections
Lawson's genus two minimal surface meromorphic connections
2010/12/14
We investigate the Lawson genus 2 surface by methods from integrable system theory. We prove that the associated family of flat connections comes from a family of flat connections on a 4−punctur...
Genus two Heegaard splittings of exteriors of 1-genus 1-bridge knots II
Genus two Heegaard splittings exteriors 1-genus 1-bridge knots II
2010/12/3
A knot K is called a 1-genus 1-bridge knot in a 3-manifold M if (M,K) has a Heegaard splitting (V1, t1) ∪ (V2, t2) where Vi is a solid torus and ti is a boundary parallel arc properly embedded in Vi. ...
Genus two Heegaard splittings of exteriors of 1-genus 1-bridge knots
two Heegaard splittings exteriors 1-genus 1-bridge knots
2010/12/3
A knot K in a closed connected orientable 3-manifold M is called a 1-genus 1-bridge knot if (M,K) has a splitting into two pairs of a solid torus Vi (i = 1, 2) and a boundary parallel arc in it. The s...
Automorphisms of the Torelli complex for the one-holed genus two surface
Torelli complex one-holed genus two surface
2010/11/29
Let S be a connected, compact and orientable surface of genus two with one boundary component. We study automorphisms of the Torelli complex for S to describe any isomorphism between finite index subg...
The Brezing-Weng-Freeman method for certain genus two hyperelliptic curves
Brezing-Weng-Freeman method elliptic curve hyperelliptic curves
2009/6/12
We construct paring friendly curves of the form Y2 = X5+uX3+vX over large
finite prime fields. The ρ-value of our family is always less than 4. Our
method is based on the fact that, under a certain ...
Generating genus two hyperelliptic curves over large characteristic finite fields
hyperelliptic curve point counting
2009/6/9
In hyperelliptic curve cryptography, finding a suitable hyperelliptic
curve is an important fundamental problem. One of necessary
conditions is that the order of its Jacobian is a product of a large...
GENERATORS OF JACOBIANS OF GENUS TWO CURVES
Jacobians genus two curves Frobenius endomorphism
2009/6/2
We prove that in most cases relevant to cryptography, the Frobenius
endomorphism on the Jacobian of a genus two curve is represented
by a diagonal matrix with respect to an appropriate basis of the ...
NON-CYCLIC SUBGROUPS OF JACOBIANS OF GENUS TWO CURVES
Jacobians hyperelliptic genus two curves pairings
2009/6/2
Let E be an elliptic curve de ned over a nite eld. Balasubramanian
and Koblitz have proved that if the `th roots of unity ` is not contained
in the ground eld, then a eld extension of the groun...
NON-CYCLIC SUBGROUPS OF JACOBIANS OF GENUS TWO CURVES WITH COMPLEX MULTIPLICATION
Jacobians hyperelliptic curves embedding degree complex multiplication
2009/6/2
Let E be an elliptic curve de ned over a nite eld. Balasubramanian
and Koblitz have proved that if the `th roots of unity ` is not contained
in the ground eld, then a eld extension of the groun...
High Performance Arithmetic for Hyperelliptic Curve Cryptosystems of Genus Two
High Performance Arithmetic Hyperelliptic Curve Cryptosystems Genus Two
2009/4/10
High Performance Arithmetic for Hyperelliptic Curve Cryptosystems of Genus Two.
A Complete Divisor Class Halving Algorithm for Hyperelliptic Curve Cryptosystems of Genus Two
hyperelliptic curve cryptosystems scalar multiplication divisor class halving
2009/3/31
We deal with a divisor class halving algorithm on hyperelliptic
curve cryptosystems (HECC), which can be used for scalar multiplication,
instead of a doubling algorithm. It is not obvious how to con...
DISTORTION MAPS FOR GENUS TWO CURVES
hyperelliptic curve cryptography pairings supersingular curves
2008/12/25
Distortion maps are a useful tool for pairing based cryptography.
Compared with elliptic curves, the case of hyperelliptic curves of genus g > 1
is more complicated since the full torsion subgroup h...
Efficient Divisor Class Halving on Genus Two Curves
hyperelliptic curve divisor class halving binary fields
2008/12/9
Efficient halving of divisor classes offers the possibility to improve scalar multiplication on hyperelliptic curves and is also a step towards giving hyperelliptic curve cryptosystems all the featur...