Defines virtual cycles for 3-term complexes via blow-up modifications of the complex and applies them to Hilbert schemes of surfaces to strengthen known results on reduced and virtual cycles.
Degeneracy loci, vir- tual cycles and nested Hilbert schemes II
2 Pith papers cite this work. Polarity classification is still indexing.
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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 cycles of 3-term complexes and the Hilbert schemes of surfaces
Defines virtual cycles for 3-term complexes via blow-up modifications of the complex and applies them to Hilbert schemes of surfaces to strengthen known results on reduced and virtual cycles.