Algebraic Geometry Lecture Notes by Prof.
Kiran Kedlaya
File Type :Online Number of Pages :NA
Description This course provides an introduction to the language of schemes,
properties of morphisms, and sheaf cohomology. Covered topics are: Basics of
category theory, Sheaves, Abelian sheaves, Schemes, Morphisms of schemes,
Sheaves of modules, More properties of morphisms, Projective morphisms,
Projective morphisms, Flat morphisms and descent, Differentials Divisors,
Divisors on curves, Homological algebra, Sheaf cohomology, Cohomology of
quasicoherent sheaves, Cohomology of projective spaces, Hilbert polynomials,
GAGA, Serre duality for projective space, Dualizing sheaves and RiemannRoch,
CohenMacaulay schemes and Serre duality, Higher RiemannRoch and Etale
cohomology.
