Introduction to commutative algebra and algebraic geometry

Experiments in Commutative Algebra and Algebraic Geometry

This is an extended set of lecture notes for the course given by the author at the CoCoA school in Sardegna in May, 2005. These notes are not intended to be exhaustive. Instead, the goal is to present the student with an overview of certain areas of algebraic geometry and commutative algebra which are extremely active, and to start seeing how almost all of the constructions and theory can be ca...

Derived Algebraic Geometry III: Commutative Algebra

Derived Algebraic Geometry III: Commutative Algebra

1 ∞-Operads 4 1.1 Basic Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2 Fibrations of ∞-Operads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.3 Algebra Objects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.4 Cartesian Monoidal Structures . . . . . . . . . . ....

Derived Algebraic Geometry III: Commutative Algebra

Derived Algebraic Geometry III: Commutative Algebra

1 ∞-Operads 4 1.1 Basic Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2 Fibrations of ∞-Operads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.3 Algebra Objects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.4 Cartesian Monoidal Structures . . . . . . . . . . ....