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Fields as algebraic objects. For vector and tensor fields, use eg. [dg.differential-geometry]. For physical fields, use eg. [mp.mathematical-physics] or [quantum-field-theory].

9 votes
2 answers
618 views

What is the state-of-the-art for solving polynomials systems over fields that are not algebr...

More specifically, what is the state-of-the-art when it comes to solving (whatever "solving" means in this case) system of polynomials of fields that are not algebraically closed, whose ideal has dimension …
user43263's user avatar
  • 697
2 votes
1 answer
185 views

Existence of solutions of polynomials systems (and their "rough" shape) over $\mathbb{R}$ & ...

There I asked about state-of-the-art methods to solve multivariate polynomials systems over non-algebraically closed fields in general. … But this doesn't work unfortunately for non-algebraically closed fields. …
user43263's user avatar
  • 697