We haven't determined whether it's possible to construct a fully general method for finding the exact number of solutions to any given system of polynomial equations.
open
Global / Unspecified, Global
Specific techniques exist for counting solutions in many cases, but a complete and general method covering every possible polynomial system remains an unresolved goal in algebraic geometry. This continues to be an active area of mathematical research.
Citation ID: WS01331
Title: We haven't determined whether it's possible to construct a fully general method for finding the exact number of solutions to any given system of polynomial equations.
URL: https://worldsolve.org/index.php?api=problem&id=1331