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 (2020W-2024S) TM1WHUEKOMM: UE Commutative algebra and algebraic geometry (2003S-2020S)