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Undergraduate Algebraic Geometry
This note covers Playing with plane curves, Plane conics, Cubics and the group law, The category of affine varieties, Affine varieties and the Nullstellensatz, Functions on varieties, Projective and biration algeometry, Tangent space and non singularity and dimension.
Author(s): Miles Reid, University of Warwick
134 Pages
Basic Modern Algebraic Geometry
This note covers the following topics: Functors, Isomorphic and equivalent categories, Representable functors, Some constructions in the light of representable functors, Schemes: Definition and basic properties, Properties of morphisms of schemes, general techniques and constructions.
Author(s): Audun Holme
111 Pages
Bezouts Theorem A taste of algebraic geometry
This note covers the following topics: The Pre-cursor of Bezout’s Theorem: High School Algebra, The Projective Plane and Homogenization, Bezout’s Theorem and Some Examples.
Author(s): Stephanie Fitchett, Florida Atlantic University Honors College
11 Pages
An Introduction to complex algebraic geometry
The material presented here consists of a more or less self contained advanced course in complex algebraic geometry presupposing only some familiarity with the theory of algebraic curves or Riemann surfaces. But the goal, is to understand the Enriques classification of surfaces from the point of view of Mori theory.
Author(s): Chris Peters
129 Pages
Yuriy Drozd Intriduction to Algebraic Geometry
This note explains the following topics: Affine Varieties, Hilbert’s Nullstell, Projective and Abstract Varieties, Grassmann varieties and vector bundles, Finite morphisms, Dimension Theory, Regular and singular points, Tangent space, Complete local rings, Intersection theory.
Author(s): Yuriy Drozd
104 Pages
This note explains the following topics: Affine and projective curves: algebraic aspects, Affine and projective curves: topological aspects.
Author(s): M.J. de la Puente
25 Pages
Riemann Surfaces and Algebraic Curves
This note describes the relation between algebraic curves and Riemann surfaces.
Author(s): Joel W. Robbin
8 Pages
Algebraic Geometry a start up course
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Numerical curves and their applications to algebraic curves
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Introduction to Algebraic Geometry
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Algebraic geometry and projective differential geometry
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Introduction to Algebraic Geometry
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