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Curves
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1	Rational curves on algebraic varieties ——————– Lecture notes for the GAeL XVIII conference Coimbra, Portugal – June 6-11, 2010 and for the Semaine sp´eciale Master de math´ematiques Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2011-08-29 16:21:31 Abstract algebra Algebra Algebraic geometry Geometry Birational geometry Divisor Projective variety Ample line bundle Rational mapping Scheme Morphism Resolution of singularities
2	A New Family of Pairing-Friendly Elliptic Curves Michael Scott and Aurore Guillevic MIRACL.com Université de Lorraine, CNRS, Inria, LORIA, Nancy, France WAIFI 2018, Bergen, Norway, June 14–16 Add to Reading List Source URL: caramba.inria.fr Language: English - Date: 2018-10-18 08:05:03 Geometry Mathematics Space Analytic number theory Elliptic curve Group theory Curve
3	BEND AND BREAK∗ Olivier Debarre June 25, 2007 Contents 1 Rational curves Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2007-06-25 17:48:03 Geometry Algebraic geometry Algebra Birational geometry Algebraic varieties Vector bundles Cone of curves Minimal model program Divisor Ample line bundle Projective variety Rational point
4	Pareto Curves for Probabilistic Model Checking Vojtˇech Forejt1 , Marta Kwiatkowska1 , and David Parker2 1 2 Department of Computer Science, University of Oxford, UK Add to Reading List Source URL: qav.comlab.ox.ac.uk Language: English - Date: 2012-06-29 07:04:13 Linear temporal logic Temporal logic Symbol FO Differential topology operator
5	Index calculus in class groups of non-hyperelliptic curves of genus 3 from a full cost perspective Claus Diem University of Leipzig Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2006-04-16 23:42:07 Algebraic curves Algebraic geometry Geometry Abstract algebra Group theory Hyperelliptic curve Algebraic surfaces Index calculus algorithm Elliptic curve Hyperelliptic curve cryptography Trace Zero Cryptography
6	Proc. Int. Cong. of Math. – 2018 Rio de Janeiro, Vol–412) HEURISTICS FOR THE ARITHMETIC OF ELLIPTIC CURVES Bjorn Poonen Add to Reading List Source URL: eta.impa.br Language: English - Date: 2018-07-25 13:17:43 Mathematics Number theory Elliptic curves Discrete mathematics Analytic number theory Conjectures Rank of an elliptic curve TateShafarevich group Elliptic curve cryptography Elliptic curve Birch and Swinnerton-Dyer conjecture Rational point
7	CURVES OF LOW DEGREES IN FANO VARIETIES OLIVIER DEBARRE Abstract. We work over the complex numbers. Fano manifolds are smooth projective varieties whose canonical bundle is antiample. In dimensions at most 3, they are al Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2014-06-03 17:41:05 Abstract algebra Algebra Geometry Algebraic geometry Fano variety Birational geometry Divisor Projective variety Coherent sheaf Hodge structure Cohomology Ample line bundle
8	Rational curves on hypersurfaces ——————– Olivier Debarre 2016 Contents Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2018-06-05 11:56:45 Geometry Abstract algebra Algebra Algebraic geometry Projective geometry Algebraic varieties Projective variety Rational point Fano variety Hypersurface Birational geometry Degree of an algebraic variety
9	Curves of low degrees on Fano varieties Olivier Debarre ? D´epartement de Math´ematiques et Applications – CNRS UMR 8553 Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2012-10-31 10:48:38 Algebra Abstract algebra Geometry Algebraic geometry Birational geometry Projective variety Fano variety Divisor Smooth scheme Algebraic curve Chow group Coherent sheaf
10	Index calculus in class groups of non-hyperelliptic curves of genus 3 from a full cost perspective – Extended Abstract – Claus Diem University of Leipzig Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2006-03-23 17:41:38 Abstract algebra Algebra Cryptography Finite fields Algebraic curves Group theory Index calculus algorithm Algorithm Hyperelliptic curve XTR Hyperelliptic curve cryptography Elliptic curve primality