The authors define divisible weighted projective spaces, give sharp bounds for minimal-degree non-degenerate subvarieties therein, and develop a theory of weighted determinantal scrolls that achieve minimal degree while satisfying weighted N_p properties tied to regularity notions.
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New bound on Newton polytope support for minimal DEs in polynomial systems enables evaluation-interpolation projection algorithm outperforming prior software.
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Varieties of minimal degree in weighted projective space
The authors define divisible weighted projective spaces, give sharp bounds for minimal-degree non-degenerate subvarieties therein, and develop a theory of weighted determinantal scrolls that achieve minimal degree while satisfying weighted N_p properties tied to regularity notions.
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Projecting dynamical systems via a support bound
New bound on Newton polytope support for minimal DEs in polynomial systems enables evaluation-interpolation projection algorithm outperforming prior software.