K-theoretic Chern class formulas for vexillary degeneracy loci
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DOI: 10.1016/j.aim.2019.04.049
Abstract: Using raising operators and geometric arguments, we establish formulas for the K-theory classes of degeneracy loci in classical types. We also find new determinantal and Pfaffian expressions for classical cases considered by Giambelli: the loci… read more here.
Keywords: chern class; class formulas; theoretic chern; degeneracy loci ... See more keywords
Universal degeneracy classes for vector bundles on P1 bundles
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DOI: 10.1016/j.aim.2021.107563
Abstract: Abstract Given a vector bundle on a P 1 bundle, the base is stratified by degeneracy loci measuring the splitting type of the vector bundle restricted to each fiber. The classes of these degeneracy loci… read more here.
Keywords: degeneracy; vector bundle; vector bundles; degeneracy loci ... See more keywords
Degeneracy loci, virtual cycles and nested Hilbert schemes II
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DOI: 10.1112/s0010437x20007290
Abstract: We express nested Hilbert schemes of points and curves on a smooth projective surface as ‘virtual resolutions’ of degeneracy loci of maps of vector bundles on smooth ambient spaces. We show how to modify the… read more here.
Keywords: hilbert schemes; virtual cycles; loci virtual; cycles nested ... See more keywords