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 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.
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 book explains
the following topics: Polarity, Conics, Plane cubics, Determinantal equations,
Theta characteristics, Plane Quartics, Planar Cremona transformations, Del Pezzo
surfaces, Cubic surfaces, Geometry of Lines.
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.
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.