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Algebraic curves
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#	Item
101	New infinite families of 3-designs from algebraic curves over finite fields Byeong-Kweon Oh Department of Applied Mathematics Add to Reading List Source URL: staff.miyakyo-u.ac.jp Language: English - Date: 2008-11-07 02:35:26 Design of experiments Symbol Combinatorial design Block design Spectral theory of ordinary differential equations Differential forms on a Riemann surface
102	HODGE–ARAKELOV THEORY OF ELLIPTIC CURVES (NOTES ON WORKS OF SHINICHI MOCHIZUKI) ROBERT A. KUCHARCZYK Hodge–Arakelov theory is developed in a series of articles by Shinichi Mochizuki from around the year 2000, includi Add to Reading List Source URL: www.maths.nottingham.ac.uk Language: English - Date: 2015-12-07 11:55:24 Algebraic geometry Homological algebra Hodge theory HodgeArakelov theory Number theory Elliptic curves Period mapping Arakelov theory Analytic torsion Group scheme Torsion Sheaf
103	Abelian varieties, theta functions and cryptography Part 2 Damien Robert1 1 Add to Reading List Source URL: www.normalesup.org Language: English - Date: 2013-11-15 16:58:00 Algebraic curves Elliptic curve cryptography Elliptic curves Pairing-based cryptography Group theory Abelian variety Tate pairing Hyperelliptic curve Weil restriction Elliptic curve Hyperelliptic curve cryptography Weil pairing
104	The Local Pro-p Anabelian Geometry of Curves.pdf Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-07 07:26:44 Algebraic geometry Sheaf theory Homological algebra Conjectures Algebraic number theory tale fundamental group tale cohomology Morphism of algebraic varieties Tate conjecture Anabelian geometry Sheaf Grothendieck topology
105	Isogenies, Polarisations and Real Multiplication — ICERM — Providence Gaëtan Bisson, Romain Cosset, Alina Dudeanu, Sorina Ionica, Dimitar Jetchev, David Lubicz, Chloe Martindale, Enea Milio, Damien Robert Add to Reading List Source URL: www.normalesup.org Language: English - Date: 2015-09-29 23:28:43 Algebraic curves Algebraic surfaces Analytic number theory Group theory Elliptic curves Isogeny Abelian variety Elliptic curve Supersingular elliptic curve Localization of a category Supersingular isogeny key exchange Elliptic curve cryptography
106	The Intrinsic Hodge Theory of p-adic Hyperbolic Curves Shinichi Mochizuki Research Institute for Mathematical Sciences Kyoto University Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-07 07:26:02 Algebraic geometry Homological algebra Number theory Algebraic surfaces Analytic number theory Elliptic curve Prime number Abelian variety P-adic number Algebraic curve Motive
107	A THEORY OF ORDINARY P-ADIC CURVES A Theory of Ordinary p-adic Curves By Shinichi MOCHIZUKI* Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-02 13:42:42 Algebraic geometry Complex analysis Riemann surfaces Vector bundles Algebraic varieties Canonical bundle Beltrami equation Indigenous bundle Ample line bundle Supersingular elliptic curve Differential geometry of surfaces Chern class
108	Isogenies and endomorphism rings of elliptic curves ECC Summer School Damien Robert Microsoft ResearchNancy) Add to Reading List Source URL: www.normalesup.org Language: English Elliptic curves Algebraic curves Analytic number theory Algebraic surfaces Supersingular elliptic curve Elliptic curve Isogeny Abelian variety Supersingular variety Supersingular isogeny key exchange Elliptic curve cryptography
109	Extending Families of Curves over Log Regular Schemes by Shinichi Mochizuki Abstract: In this paper, we generalize to the “log regular case” a result of de Jong and Oort which states that any morphism (satisfying cer Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-07 02:01:42 Algebraic geometry Morphism of algebraic varieties CohenMacaulay ring Divisor Blowing up tale morphism Log structure Smooth morphism Normal scheme Sheaf Toric variety Resolution of singularities
110	Endomorphism rings of elliptic curves over finite fields by David Kohel B.S. Biochemstry (Texas A&M UniversityB.S. Mathematics (Texas A&M University) 1989 Add to Reading List Source URL: iml.univ-mrs.fr Language: English - Date: 2008-03-26 10:39:46 Elliptic curves Finite fields Supersingular elliptic curve Group theory Elliptic curve cryptography Algebraic number theory Elliptic curve Complex multiplication Supersingular variety Frobenius endomorphism Group scheme Twists of curves

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