4 problems
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Bidaut-Véron–Huidobro–Véron conjecture for the second critical range
Bidaut-Véron–Huidobro–Véron conjecture. Any solution must be constant in the second critical range.
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The conjecture on minimal monomial Togliatti systems and Laplace equations
The minimal monomial Togliatti conjecture. Every minimal monomial Togliatti system of degree satisfies precisely one Laplace equation of order .
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Strict decrease and convergence of the first singularity times for the nonlocal Dominative -Laplace discretization
Conjecture on the sequence . The sequence is strictly decreasing and satisfies
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Ilardi's generalization of Togliatti's cubic monomial map
Let be generated by cubic monomials defining a basepoint-free map from to projective space, and suppose its image is smooth. A map defined by cubic monomials to…