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21 votes
5 answers
6k views

Fast computation of a Groebner basis. What is possible?

I need to compute a Groebner basis of 18 polynomials in 19 variables the terms of which have degree at most 3. My aim is to exploit a symmetry in a PDE problem and I am not an expert in algebra or ...
warsaga's user avatar
  • 1,256
6 votes
1 answer
530 views

Does a variety contain a cartesian product of two curves?

We are given an affine variety $V\subset \mathbb{A}^n\times\mathbb{A}^n$, and wish to know if it contains a product of the form $C_1\times C_2$, where $C_1$ and $C_2$ are two curves in $\mathbb{A}^n$. ...
Boris Bukh's user avatar
  • 7,836
6 votes
1 answer
269 views

Algebraization of Bayesian networks?

The algebraization of classical propositional logic is Boolean algebra. Bayesian networks are a generalization of classical propositional logic with probability truth-values. What is the ...
YKY's user avatar
  • 558