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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Authors compute ring structure, coherent cohomology (via Lie algebra reduction), Poincaré duality compatibility, and Picard groups for supertori defined by odd-parameter translations in superspace.
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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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Cohomology of complex supertori
Authors compute ring structure, coherent cohomology (via Lie algebra reduction), Poincaré duality compatibility, and Picard groups for supertori defined by odd-parameter translations in superspace.