[ 201SYMRCAGV20 ] VL Commutative algebra and algebraic geometry





Workload 
Education level 
Study areas 
Responsible person 
Hours per week 
Coordinating university 
3 ECTS 
B3  Bachelor's programme 3. year 
Mathematics 
Josef Schicho 
2 hpw 
Johannes Kepler University Linz 



Detailed information 
Original study plan 
Bachelor's programme Technical Mathematics 2022W 
Objectives 
Determination of the number of solutions of a system of algebraic equations

Subject 
When we change the coefficients in a polynomial system of equations, then the number of solutions often remains constant 
assuming we are counting complex solutions and take multiplicities into account.
This idea is formative for intersection theory, a central discipline of algebraic geometry.

Criteria for evaluation 
final written or oral exam

Methods 
lecture

Language 
English 
Study material 
D. Eisenbud and J. Harris: 3264 and all that.

Changing subject? 
No 



Onsite course 
Maximum number of participants 
 
Assignment procedure 
Direct assignment 
