[ 201GEOMCAGU24 ] UE Commutative algebra and algebraic geometry





Workload 
Education level 
Study areas 
Responsible person 
Hours per week 
Coordinating university 
1,5 ECTS 
B3  Bachelor's programme 3. year 
Mathematics 
Josef Schicho 
1 hpw 
Johannes Kepler University Linz 



Detailed information 
Original study plan 
Bachelor's programme Technical Mathematics 2024W 
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 
Exercises and projects

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

Changing subject? 
No 
Earlier variants 
They also cover the requirements of the curriculum (from  to) 201SYMRCAGU20: UE Commutative algebra and algebraic geometry (2020W2024S) TM1WHUEKOMM: UE Commutative algebra and algebraic geometry (2003S2020S)




Onsite course 
Maximum number of participants 
25 
Assignment procedure 
Direct assignment 
