Constructs nested non-commutative Hilbert scheme on C^n, equips nested Hilbert scheme on C^2 with equivalent obstruction theory, and derives closed formula for equivariant virtual Euler characteristic generating series via torus localization and bundle maps.
and Laksov, Dan and Skjelnes, Roy Mikael , TITLE =
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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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Virtual K-theoretic invariants of the nested Hilbert scheme on $\mathbb{C}^2$
Constructs nested non-commutative Hilbert scheme on C^n, equips nested Hilbert scheme on C^2 with equivalent obstruction theory, and derives closed formula for equivariant virtual Euler characteristic generating series via torus localization and bundle maps.
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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.