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Algebraic varieties
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221	INTRODUCTION TO ALGEBRAIC GEOMETRY, CLASS 12 RAVI VAKIL Contents 1. Products of projective varieties; the Segre map 1.1. P1 × P1 and the smooth quadric surface Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2000-05-04 14:23:12 Algebraic variety Rational mapping Segre embedding Quasiprojective variety Product Sheaf Quadric Ample line bundle Proper morphism Geometry Abstract algebra Algebraic geometry
222	Canonical models of Shimura curves J.S. Milne April 4, 2003, v0.0 Abstract As an introduction to Shimura varieties, and, in particular, to Deligne’s Bourbaki and Corvallis talks (Deligne 1971, 1979), I explain the main Add to Reading List Source URL: www.jmilne.org Language: English - Date: 2007-07-01 16:04:06 Lie groups Analytic number theory Modular forms Group theory Algebraic geometry Modular curve Congruence subgroup Shimura variety Elliptic curve Abstract algebra Algebra Geometry
223	HARDY-LITTLEWOOD VARIETIES AND SEMISIMPLE GROUPS ´v Rudnick Mikhail Borovoi and Zee Introduction Add to Reading List Source URL: www.math.tau.ac.il Language: English - Date: 2006-09-12 15:17:04 Conjectures Diophantine geometry Weil conjecture on Tamagawa numbers Algebraic number field Maximal function Hardy–Littlewood tauberian theorem Abstract algebra Mathematical analysis Mathematics
224	MUMFORD-TATE GROUPS AND ABELIAN VARIETIES PETE L. CLARK 1. Introduction These are notes for a lecture in Elham Izadi’s 2006 VIGRE seminar on the Hodge Conjecture. Add to Reading List Source URL: math.uga.edu Language: English - Date: 2006-11-09 20:58:22 Mumford–Tate group Hodge structure Hodge conjecture Abelian variety Abelian group Representation theory Elliptic curve Algebraic group Complex multiplication Abstract algebra Algebra Hodge theory
225	BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 6, Number 2, March 1982 PROBLEMS ON ABELIAN FUNCTIONS AT THE TIME OF POINCARÉ AND SOME AT PRESENT1 Add to Reading List Source URL: www.ams.org Language: English - Date: 2010-01-14 12:42:58 Algebraic curves Riemann surfaces Analytic number theory Abelian varieties Algebraic structures Modular form Divisor Schottky problem Abelian integral Abstract algebra Algebraic geometry Mathematical analysis
226	INCOMPRESSIBILITY OF PRODUCTS NIKITA A. KARPENKO Abstract. We show that the conjectural criterion of p-incompressibility for products of projective homogeneous varieties in terms of the factors, previously known in a few Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2015-01-31 12:09:13 Algebra Motive Chow ring Ample line bundle Algebraic variety Rational mapping Abstract algebra Algebraic geometry Geometry
227	Chern numbers and Hilbert Modular Varieties Dylan Attwell-Duval Department of Mathematics and Statistics McGill University Montreal, Quebec [removed] Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2011-04-14 11:42:34 Algebraic topology Chern class Hirzebruch–Riemann–Roch theorem Stiefel–Whitney class Splitting principle Surface of general type Pontryagin class Line bundle Euler class Topology Characteristic classes Abstract algebra
228	Elliptic Curve Cryptography: Invention and Impact: The invasion of the Number Theorists Victor S. Miller IDA Center for Communications Research Princeton, NJ[removed]USA Add to Reading List Source URL: www.iacr.org Language: English - Date: 2007-06-12 08:54:49 Elliptic curves Abelian varieties Finite fields Diophantine geometry Analytic number theory Mordell–Weil theorem Elliptic function Victor S. Miller Birch and Swinnerton-Dyer conjecture Abstract algebra Mathematics Algebraic geometry
229	Contents IAS/Park City Mathematics Institute xi Add to Reading List Source URL: www.ams.org Language: English - Date: 2013-01-02 12:00:09 Algebraic varieties Projective geometry Algebraic curves Conic sections Projective space Divisor Sheaf Cubic plane curve Degenerate conic Geometry Abstract algebra Algebraic geometry
230	RANKS OF ELLIPTIC CURVES WITH PRESCRIBED TORSION OVER NUMBER FIELDS JOHAN BOSMAN, PETER BRUIN, ANDREJ DUJELLA, AND FILIP NAJMAN Abstract. We study the structure of the Mordell–Weil group of elliptic curves over number Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2013-01-15 10:57:31 Elliptic curves Algebraic curves Number theory Abelian varieties Diophantine geometry Birch and Swinnerton-Dyer conjecture Twists of curves Mordell–Weil theorem Division polynomials Abstract algebra Algebraic geometry Mathematics

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