Geometry
Introduction
to algebraic surfaces
Dr. Xiaotao Sun
The
Abstract
In the following 5 lectures, we intend to introduce very briefly the Enriques-Kodaira classification of algebraic surfaces. In Lecture 1, some basic notations and general theorems of algebraic geometry will be discussed. Lecture 2 is about intersection theory and linear systems on algebraic surfaces. In Lecture 3, we will discuss the factorization theorem of birational morphisms between two surfaces, Castelnuovo's criterion of exceptional curves and minimal models of surfaces. In Lecture 4, after some examples, we determine all minimal rational surfaces. In Lecture 5, we will give the picture of Enriques-Kodaira classification, then try to explain the surfaces with Kodaira dimension 0 and 1.
(1) Preliminaries
(2) Curves on algebraic
surfaces
(3) Birational maps and
minimal models
(4) Ruled surfaces and
rational surfaces
(5) Classification and Kodaira
dimension
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Lecture 1: |
October 31, 2002 (Thur) |
4:15pm |
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Lecture 2: |
November 7, 2002 (Thur) |
4:15pm |
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Lecture 3: |
November 14, 2002 (Thur) |
4:15pm |
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Lecture 4: |
November 21, 2002 (Thur) |
4:15pm |
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Lecture 5: |
November 28, 2002 (Thur) |
4:15pm |
Lectures will be held in Room 517, Meng Wah Complex
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All are welcome |
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