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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A new proof of Li's theorem on geometric Bridgeland stability conditions on projective spaces is given via quotient stack restriction.
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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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A note on stability conditions on projective spaces
A new proof of Li's theorem on geometric Bridgeland stability conditions on projective spaces is given via quotient stack restriction.