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Genus-2 surface
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1	. Genus 2 formulae based on Theta functions and their implementation Pierrick Gaudry Add to Reading List Source URL: mathsci.ucd.ie Language: English - Date: 2007-09-09 18:45:21 Riemann surfaces Algebraic surfaces Analytic number theory Elliptic curve Group theory Kummer surface Pi Theta function
2	Point counting in genus 2: reaching 128 bits P. Gaudry ´ Schost Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2008-10-03 23:31:57 Differential geometry Curvature Curves Algebraic surfaces Group theory Abelian variety Resultant Elliptic curve Torsion tensor Kummer surface Polynomial Torsion of a curve
3	EXPLICIT KUMMER SURFACE FORMULAS FOR ARBITRARY CHARACTERISTIC ¨ JAN STEFFEN MULLER Abstract. If C is a curve of genus 2 defined over a field k and J is its Jacobian, then we can associate a hypersurface K in P3 to J, Add to Reading List Source URL: www.math.uni-hamburg.de Language: English - Date: 2012-11-13 10:10:31
4	LOCALISING DEHN’S LEMMA AND THE LOOP THEOREM IN 3-MANIFOLDS I. R AITCHISON AND J. HYAM RUBINSTEIN Abstract. In this paper, we give a new proof of Dehn’s lemma and the loop theorem. This is a fundamental tool in the t Add to Reading List Source URL: www.ms.unimelb.edu.au Language: English - Date: 2004-02-23 06:04:21 Surfaces Haken manifold Incompressible surface Orientability Manifold Genus 2-sided Real projective plane Differentiable manifold Topology Geometric topology 3-manifolds
5	The group law on the Jacobian of a curve of genus 2 E. V. Flynn, Mathematical Institute, University of Oxford Abstract An explicit description is given of the group law on the Jacobian of a curve C of genus 2. The Kummer Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:37 Algebraic surfaces Kummer surface
6	CANONICAL HEIGHTS ON THE JACOBIANS OF CURVES OF GENUS 2 AND THE INFINITE DESCENT E.V. FLYNN AND N.P. SMART Abstract. We give an algorithm to compute the canonical height on a Jacobian of a curve of genus 2. The computati Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic number theory Analytic number theory Elliptic curve Group theory Kummer surface Algebraic number field P-adic number Prime number Abstract algebra Mathematics Field theory
7	arXiv:1004.3049v3 [math.GT] 13 Apr[removed]Algebraic & Geometric Topology XX (20XX) 1001–[removed] Add to Reading List Source URL: arxiv.org Language: English - Date: 2011-04-13 20:12:07 Manifold Symplectic manifold Genus-2 surface Differentiable manifold Surgery theory Torus Connected sum Kirby calculus Topological manifold Topology Geometric topology Differential topology
8	Knot Theory Julia Collins November 2, 2006 Add to Reading List Source URL: www.maths.ed.ac.uk Language: English - Date: 2006-11-02 07:27:04 Mathematics Seifert surface Alexander polynomial Jones polynomial Knot invariant Genus Reidemeister move Unknot Arf invariant of a knot Knot theory Topology Abstract algebra