• Contribute to the (wonderful) ongoing GLL debate between Aram Harrow and Gil Kalai, and thereby help also to accelerate the medical goals of the UW QSE/NEST RoadmapUW/ISH Naturality and Guidance Seminar.

• 10 Shortened title and new references to Elizabeth Allman's "Salmon Prize"; [made Community Wiki]

Harris'"AlgebraicGeometry",quantumQuantum dynamics on varieties , and amore-than-monetaryrewardSalmonPrizes

ConcludingProgressive Remarks

A new finding is Bates and Oeding's preprint "Toward a salmon conjecture" (arXiv:1009.6181), with its reference to the Salmon Prize.

The Salmon Prize (photo of the prize here) is offered by mathematician/biologist Elizabeth Allman, and can be appreciated in the broad mathematical context that is provided by Topics in Tensors: A Summer School by Shmuel Friedland.

Until such time as further comments are offered, a satisfactory working answer is:

• A basic

• An introduction to these multilinear varieties considered as algebraic/geometric objects may be found on page 99ff of Joe Harris' Algebraic Geometry: a First Course.

• This question's threefour-levelfourfive-level reward structure

Associated to this question is a three four-level four five-level reward structure:

• Best of all, the Salmon Prize is offered by mathematician/biologist Elizabeth Allman.

• At the conclusion of the meta thread that was started by Andy Putman (who wondered why this question was being downvoted) concrete examples now are given of higher-order 'almost-Hilbert' varieties. These varieties are nontrivial in The following intent is posted there:

Last night I discovered a brand-new monograph by Joseph Landsberg's sense (Landsberg that encompasses more-or-less the answer sought, and likely will be so I have amended the focus beginning of the question to be a future MOF question)pointer to Landsberg's monograph.

Sometime in the next week or two I will post a concrete mathematical question framed within the context that Landsberg's monograph supplies asking for a classification of all multilinear varieties having unit-dimension defect with respect to their natural Segre embedding.

At that time I will request closure of the original question, to be supplanted by this classification question.

• 8 immaterial font correction