Algebraic Geometry Lecture Notes by Prof. Kiran Kedlaya

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Algebraic Geometry Lecture Notes written by Prof. Kiran Kedlaya
. This is an other book of mathematics cover the following topics.

Introduction and overview

Basics of category theory

Sheaves, Abelian sheaves, Schemes,

Morphisms of schemes, Sheaves of modules

More properties of morphisms

Projective morphisms, part 1, Projective morphisms, part 2

More properties of schemes

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