Notes of an introductory course to Algebraic Geometry
Notes of an introductory course to Algebraic Geometry
Notes of an introductory course to Algebraic Geometry
This
note covers the following topics: The correspondence between ideals and
algebraic sets, Projections, Sheaves, Morphisms of Sheaves, Glueing Sheaves,
More on Spec(R), Proj(R)is a scheme, Properties of schemes, Sheaves of modules,
Schemes over a field, sheaf of differentials and Picard group.
This
note covers the following topics: The correspondence between ideals and
algebraic sets, Projections, Sheaves, Morphisms of Sheaves, Glueing Sheaves,
More on Spec(R), Proj(R)is a scheme, Properties of schemes, Sheaves of modules,
Schemes over a field, sheaf of differentials and Picard group.
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.
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.
This book covers the following topics:
Elementary Algebraic Geometry, Dimension, Local Theory, Projective Geometry,
Affine Schemes and Schemes in General, Tangent and Normal Bundles, Cohomology,
Proper Schemes and Morphisms, Sheaves and Ringed Spaces.