The maximal-minor F-threshold formula for large determinantal rings
The maximal-minor F-threshold formula for large determinantal rings
Let , where is an matrix of indeterminates, , and denotes the F-threshold of the homogeneous maximal ideal. The preceding results give the upper bound . Maximal-minor F-threshold conjecture. In the context of this upper bound, for all . This extends the formula proved in the paper for ; the cases with both parameters at least remain conjectural.
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Primary source
Barbara Betti, Alessio Moscariello, Francesco Romeo and Jyoti Singh, “F-threshold of determinantal rings”, arXiv:2309.17376 (2023).
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