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Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.

2 votes
1 answer
185 views

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

This is a follow-up (but self-contained) question to my previous one. There I asked about state-of-the-art methods to solve multivariate polynomials systems over non-algebraically closed fields in gen …
user43263's user avatar
  • 697
9 votes
2 answers
618 views

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

I am not working in the field of algorithmic algebraic geometry - yet, for my current work, I need some results from it. More specifically, what is the state-of-the-art when it comes to solving (wha …
user43263's user avatar
  • 697