2 problems
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Even-lacuna conjecture for isolated plane critical points
Even-lacuna conjecture. The deformations of have no even local lacunas unless has an extremum at the origin. If has a minimum at the origin, then all critical values of…
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Equality conjecture for local Petrovskii lacuna counts
Equality conjecture. In every cell of Table 1, except possibly the cell corresponding to , each inequality can be replaced by an equality.