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Varieties of minimal degree in weighted projective space

math.AC · 2026-04-20 · unverdicted · novelty 7.0

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.

Localizing subcategories for algebraic stacks

math.AG · 2026-06-01 · unverdicted · novelty 5.0

Establishes descent for ⊗-localizing subcategories along smooth presentations and classifies them for quasi-coherent derived categories on algebraic stacks via subsets of the topology.

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Showing 2 of 2 citing papers after filters.

  • Varieties of minimal degree in weighted projective space math.AC · 2026-04-20 · unverdicted · none · ref 13

    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.

  • Localizing subcategories for algebraic stacks math.AG · 2026-06-01 · unverdicted · none · ref 38

    Establishes descent for ⊗-localizing subcategories along smooth presentations and classifies them for quasi-coherent derived categories on algebraic stacks via subsets of the topology.