Dear all,

the next seminar will be held in Vienna, on Tuesday 7th of October. The first topic we are going to discuss is "divisors and their applications". It will be our focus of attention for the next 3-4 sessions. The special talk at the end of the session will be given by

Josef Schicho: "Numerical Statistics and zeros of polynomials"

Best regards,

Clemens

SUBTOPICS:

(shortcut: shafi=shafarevic)

1. definition of weil and cartier divisors (examples, differences)

(e.g. Shafi Chpt. III, 1.1, 1.2)

2. Overview on Applications of Divisors by N. Lubbes

3. Moving the support of a divisor

(e.g. Shafi Chpt III, 1.3)

4. Divisors and rational maps, Linear System

(e.g. Shafi Chpt III, 1.4,1.5)

REFERENCES:

- Shafarevic, "Basic Algebraic Geometry I"

- Griffiths-Harris, "Principles of Algebraic Geometry"

- Griffiths, "Introduction to Algebraic Curves"

- Hartshorne, "Algebraic Geometry"

- Liu, "Algebraic Geometry and Arithmetic Curves"

- Eisenbud, "Comm. Alg. with a view towards Alg Geom"

- Lazarsfeld, "Positivity in Algebrac Geometry I"

- Fulton, "Intersection Theory"