K-theory rings of toric and flag varieties are realized as quotients of group algebras from linear families of virtual polytopes, yielding natural relations and descriptions of structure sheaf classes, including in the T-equivariant case.
Some Properties of Enumeration in the Theory of Modular Systems
3 Pith papers cite this work, alongside 555 external citations. 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.
The paper identifies new classes of Macaulay posets and rings where topological-inspired operations preserve the Macaulay property.
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Polyhedral models for K-theory of toric and flag varieties
K-theory rings of toric and flag varieties are realized as quotients of group algebras from linear families of virtual polytopes, yielding natural relations and descriptions of structure sheaf classes, including in the T-equivariant case.
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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.
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Constructions of Macaulay Posets and Macaulay Rings
The paper identifies new classes of Macaulay posets and rings where topological-inspired operations preserve the Macaulay property.