Conjecture on explicit defining equations for explicit varieties
Conjecture on explicit defining equations for explicit varieties
Let be an explicit variety, and distinguish explicit close-to-defining equations from explicit defining equations as in the source. Explicit equations conjecture.
(a) Any explicit variety has explicit close-to-defining equations.
(b) The explicit varieties in the theorem establishing black-box derandomization of symbolic determinant identity testing have explicit defining equations.
These assertions concern the construction of equations for explicit varieties, a central obstacle in geometric complexity theory; the source gives no resolution.
Sources & referencesView supporting material
Primary source
Ketan D. Mulmuley, “Geometric Complexity Theory V: Efficient algorithms for Noether Normalization”, arXiv:1209.5993 (2016).
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