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Results tagged with ag.algebraic-geometry
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user 140486
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
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SDP representation of ideal polynomials for positivstellensatz refutations
As I guessed, I was missing a fairly trivial piece (and most of my question is not even relevant to the answer).
Free decision variables $a_i$ can be represented in SDPs by the difference of two posi …
- 31
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SDP representation of ideal polynomials for positivstellensatz refutations
If we want to certify the nonexistence of real solutions to a polynomial system of equations, i.e.
$$ S = \{ x\in \mathbb{R}^n \ | \ h_i (x) = 0, \ i=1,\dots,t \} = \emptyset, $$
we can produce a Po …
- 31