# Course Descriptions

## 16:640:535 - Algebraic Geometry I

Charles Weibel

### Text:

Hartshorne, {\it Algebraic Geometry}, Springer Graduate Texts in Math.~52, latest ($$9$$th?) edition.

### Prerequisites:

First-year Algebra sequence

### Description:

 \magnification=\magstep2 \centerline{\bf Algebraic Geometry (640:535)} \smallskip \centerline{Fall 2018\quad C. Weibel} \bigskip \input amstex \loadmsbm %Blackboard bold This will be an introduction to the subject of Algebraic Geometry. The first part of the course will cover the general theory of varieties over an algebraically closed field ($$\Bbb C$$ comes to mind). I'll do lots of examples using curves and surfaces, 'cause I can draw pictures. These example will become useful grounding for part II. The second part of the course will study Schemes as the algebraic analogue of manifolds. Try thinking of the integers $$\Bbb Z$$ as a manifold! I'm not going to assume a lot of commutative ring theory, we'll just quote what we need and move on. The idea is to address the interests of the students in the class. This means that although I may talk about curves as part III, and surfaces as part IV if time permits, I could be pursuaded otherwise.

## Contacts

Departmental Chair
Michael Saks