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.
Constructions ofk-regular maps using finite local schemes
2 Pith papers cite this work. Polarity classification is still indexing.
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Generalizes Iarrobino's symmetric decomposition to self-dual modules over local algebras, classifies local Hilbert functions for small degrees, and extends Kunte's self-duality criterion.
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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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Iarrobino's symmetric decomposition for self-dual modules
Generalizes Iarrobino's symmetric decomposition to self-dual modules over local algebras, classifies local Hilbert functions for small degrees, and extends Kunte's self-duality criterion.