A Gröbner fan is a construction from computational algebraic geometry and commutative algebra that arises from the study of Gröbner bases. Specifically, it is a way of organizing and visualizing the different leading term orders that can be used in the computation of Gröbner bases for a given ideal in a polynomial ring. ### Key Concepts 1. **Gröbner Bases**: These are special sets of generators for ideals in polynomial rings that facilitate solving systems of polynomial equations.

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