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Algebra bundle
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121	THE MODULI SPACE OF CURVES AND GROMOV-WITTEN THEORY RAVI VAKIL A BSTRACT. The goal of this article is to motivate and describe how Gromov-Witten theory can and has provided tools to understand the moduli space of curves. Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-05-26 15:48:29 Moduli theory Algebraic curves Invariant theory Complex manifolds Moduli space Moduli of algebraic curves Riemann–Roch theorem Ample line bundle Divisor Algebraic geometry Abstract algebra Geometry
122	Complete Subdivision Algorithms, I: Intersection of Bezier Curves ∗ Chee K. Yap Add to Reading List Source URL: www.cs.nyu.edu Language: English - Date: 2008-01-22 00:29:19 Elliptic curves Algebraic curve Algebraic geometry Curve Intersection number Intersection theory Ample line bundle Counting points on elliptic curves Abstract algebra Geometry Mathematics
123	INTERSECTION THEORY Contents 1. Introduction 2. Conventions 3. Cycles Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-03 17:14:26 Chow ring Intersection theory Adequate equivalence relation Flat morphism Ample line bundle Intersection number Proper morphism Sheaf Algebraic cycle Abstract algebra Algebraic geometry Geometry
124	COUNTING CURVES ON RATIONAL SURFACES RAVI VAKIL Abstract. In [CH3], Caporaso and Harris derive recursive formulas counting nodal plane curves of degree d and geometric genus g in the plane (through the appropriate number Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2002-02-22 23:11:59 String theory Symplectic topology Complex manifolds Algebraic topology Stable map Gromov–Witten invariant Differential geometry of surfaces Riemann–Hurwitz formula Canonical bundle Algebraic geometry Geometry Abstract algebra
125	COMPACTIFICATION OF THE UNIVERSAL PICARD OVER THE MODULI OF STABLE CURVES TYLER J. JARVIS A. This article provides two different, but closely related, moduli problems, which in characteristic zero pr Add to Reading List Source URL: math.byu.edu Language: English - Date: 2006-06-18 21:18:37 Moduli space Algebraic stack Ample line bundle Sheaf Compactification Modular curve Proper morphism Torsion tensor Algebraic space Abstract algebra Geometry Algebraic geometry
126	THE MODULI SPACE OF CURVES AND ITS TAUTOLOGICAL RING RAVI VAKIL The moduli space of curves has proven itself a central object in geometry. The past decade has seen substantial progress in understanding the moduli space o Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2003-03-14 11:50:44 Moduli theory Algebraic geometry Invariant theory Vector bundles Moduli space Projective geometry Moduli of algebraic curves Line bundle Algebraic stack Abstract algebra Geometry Topology
127	Geometric Langlands Program Benedict Morrissey February 28, 2014 supervisor : Peter Bouwknegt ANU Abstract Add to Reading List Source URL: vrs.amsi.org.au Language: English - Date: 2014-09-04 22:39:07 Algebraic topology Differential topology Homotopy theory Conjectures Number theory Sheaf Langlands program Vector bundle Moduli space Abstract algebra Mathematics Topology
128	3-3 A Generalized Harley Algorithm for Genus Two Hyperelliptic Curves SUGIZAKI Hiroki, MATSUO Kazuto, CHAO Jinhui, and TSUJII Shigeo A fast addition algorithm for divisor classes of genus two hyperelliptic curves over fi Add to Reading List Source URL: www.nict.go.jp Language: English - Date: 2005-09-28 07:33:58 Algebraic curves Hyperelliptic curve Divisor Ample line bundle Elliptic curve Linear system of divisors Infrastructure Imaginary hyperelliptic curve Hyperelliptic curve cryptography Abstract algebra Algebraic geometry Algebra
129	Journal of Machine Learning Research[removed]–∞ Submitted 0/00; Published 0/00 A Geometric View of Non-Linear On-Line Stochastic Gradient Descent Add to Reading List Source URL: users.cecs.anu.edu.au Language: English - Date: 2009-07-31 04:02:53 Differential topology Differential geometry Vector calculus Riemannian geometry Riemannian manifold Exponential map Differentiable manifold Vector field Tangent bundle Algebra Mathematics Mathematical analysis
130	Differential Geometry. Exercises. Michael Murray November 24, 1997 Contents 1 Co-ordinate charts and manifolds. Add to Reading List Source URL: www.maths.adelaide.edu.au Language: English - Date: 2007-11-28 03:42:39 Differential geometry Differential topology Tangent space Tangent bundle Vector field Polar coordinate system Vector space Lie derivative Almost complex manifold Algebra Mathematics Mathematical analysis

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