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Foundations Of Algebraic Geometry
This book is intended to give a serious and reasonably complete introduction to algebraic geometry, not just for experts in the field. Topics covered includes: Sheaves, Schemes, Morphisms of schemes, Useful classes of morphisms of schemes, Closed embeddings and related notions, Fibered products of schemes, and base change, Geometric properties: Dimension and smoothness, Quasicoherent sheaves, Quasicoherent sheaves on projective A-schemes, Differentials,Derived functors, Power series and the Theorem on Formal Functions, Proof of Serre duality.
Author(s): Ravi Vakil
764 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
Notes on basic algebraic geometry
This is an introductory course note in algebraic geometry. The author has trodden lightly through the theory and concentrated more on examples.
Author(s): Donu Arapura
41 Pages
Introduction to Algebraic Geometry I (PDF 20P)
This note contains the following subtopics of Algebraic Geometry, Theory of Equations, Analytic Geometry, Affine Varieties and Hilbert’s Nullstellensatz , Projective Varieties and Bezout’s Theorem, Epilogue
Author(s): Sudhir R. Ghorpade
20 Pages
An introduction to both the geometry and the arithmetic of abelian varieties. It includes a discussion of the theorems of Honda and Tate concerning abelian varieties over finite fields and the paper of Faltings in which he proves Mordell's Conjecture. Warning: These notes are less polished than the others.
Author(s): J.S.Milne
172 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
This book explains the following topics: What is algebraic geometry, Functions, morphisms, and varieties, Projective varieties, Dimension, Schemes, Morphisms and locally ringed spaces, Schemes and prevarieties, Projective schemes, First applications of scheme theory, Hilbert polynomials.
Author(s): Andreas Gathmann
214 Pages
Complex algebraic surfaces class
This note explains the theory of (complex) algebraic surfaces, with the goal of understanding Enriques' classification of surfaces.
Author(s): Ravi Vakil
NA 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
A Stab at some Algebraic Geometry
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Author(s): NA
NA Pages
Algebraic Geometry a start up course
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Author(s): NA
NA Pages
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NA Pages
Numerical curves and their applications to algebraic curves
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NA Pages
NOTES ON ALGEBRAIC GEOMETRIC CODES Introduction
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NA Pages
Multiplier Ideals for Algebraic Geometers
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NA Pages
Topics In Algebra Elementary Algebraic Geometry
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NA PagesAdvertisement
