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
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) 201SYMRCAGV20: VL Commutative algebra and algebraic geometry (2020W-2023S)