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Electronic Colloquium on Computational Complexity

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Reports tagged with noether normalization:
TR13-033 | 1st March 2013
Michael Forbes, Amir Shpilka

Explicit Noether Normalization for Simultaneous Conjugation via Polynomial Identity Testing

Revisions: 1

Mulmuley recently gave an explicit version of Noether's Normalization lemma for ring of invariants of matrices under simultaneous conjugation, under the conjecture that there are deterministic black-box algorithms for polynomial identity testing (PIT). He argued that this gives evidence that constructing such algorithms for PIT is beyond current techniques. In ... more >>>

TR21-067 | 6th May 2021
Zeyu Guo

Variety Evasive Subspace Families

We introduce the problem of constructing explicit variety evasive subspace families. Given a family $\mathcal{F}$ of subvarieties of a projective or affine space, a collection $\mathcal{H}$ of projective or affine $k$-subspaces is $(\mathcal{F},\epsilon)$-evasive if for every $\mathcal{V}\in\mathcal{F}$, all but at most $\epsilon$-fraction of $W\in\mathcal{H}$ intersect every irreducible component of $\mathcal{V}$ ... more >>>

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