Program
Singularities in algebraic varieties
Student No.:50
Time:【Updated】Tue 19:00-20:50/Thu 13:00-14:50, 2016-09-12~ 2016-12-15 (No classes on public holidays)
Instructor:Huaiqing Zuo  [Tsinghua University]
Place:Conference Room 1, Floor 1, Jin Chun Yuan West Building
Starting Date:2016-9-12
Ending Date:2016-12-15

 

 

Description:

 

 

We will cover the following topics:

 

1. Plurigenera of surface singularities.

 

2. Classification of normal isolated singularities.

 

3. Differential forms around a singularity.

 

4. Riemann-Roch theorem for resolution of isolated singularities.

 

 

 

Prerequisite:

 

 

Commutative algebra, basic knowledge of singularity theory and algebraic geometry

 

 

 

Reference:

 

1. Okuma Tomohiro  Plurigenera of surface singularities. Nova Sci Pub. Inc, 2000.

 

2. Shihoko_Ishii  Introduction_to_Singularities, Springer 2014.

 

3. Kato, Masahide  Riemann-Roch theorem for strongly pseudoconvex manifolds of dimension 2, Math Ann, (1976).