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Lecture Notes for Algebraic geometry
This note covers notation, What is algebraic geometry, Affine algebraic varieties, Projective algebraic varieties, Sheaves, ringed spaces and affine algebraic varieties, Algebraic varieties, Morphisms, Products, Dimension, The fibres of a morphism, Sheaves of modules, Hilbert polynomials and bezouts theorem, Schemes, Products of preschemes, Relative differentials, Cartier divisors, Rational equivalence and the chow group, Proper push forward and flat pull back, Chern classes of line bundles and chern classes of vector bundles.
Author(s): Leonardo Constantin Mihalcea
132 Pages
Introduction to Algebraic Geometry by JustinR.Smith
This note covers classical result, Affine varieties, Local properties of affine varieties, Varieties and Schemes, Projective varieties and Curves.
Author(s): JustinR.Smith
663 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
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
This book explains the following topics: Etale Morphisms, Etale Fundamental Group, The Local Ring for the Etale Topology, Sheaves for the Etale Topology, Direct and Inverse Images of Sheaves, Cohomology: Definition and the Basic Properties, Cohomology of Curves, Cohomological Dimension, Purity; the Gysin Sequence, The Proper Base Change Theorem, Cohomology Groups with Compact Support, The Smooth Base Change Theorem, The Comparison Theorem, The Kunneth Formula, Proof of the Weil Conjectures, The Weil Conjectures, The Geometry of Lefschetz Pencils and Cohomology of Lefschetz Pencils.
Author(s): J.S. Milne
202 Pages
These notes are an introduction to the theory of algebraic varieties. In contrast to most such accounts they study abstract algebraic varieties, and not just subvarieties of affine and projective space. This approach leads more naturally into scheme theory.
Author(s): J.S. Milne
NA 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
Notes on basic algebraic geometry
This is an introductory course note in algebraic geometry. Author has trodden lightly through the theory and concentrated more on examples.Covered topics are: Affine Geometry, Projective Geometry, The category of varieties, Dimension theory and Differential calculus.
Author(s): Donu Arapura
41 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
A Gallery of Algebraic Surfaces
This note explains the following topics: Algebraic surfaces, Singularities, Maximal numbers of singularities, Quartics, Enumerative geometry.
Author(s): Bruce Hunt
25 Pages
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Author(s): NA
NA Pages
Introduction to projective varieties
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Author(s): NA
NA Pages
Numerical curves and their applications to algebraic curves
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Author(s): NA
NA Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
