Multiplicities of ideals in Noetherian rings.
Planar graphs as minimal resolutions of trivariate monomial ideals.
Duality of antidiagonals and pipe dreams.
Reciprocal domains and Cohen-Macaulay -complexes in .
Positivity and Kleiman transversality in equivariant -theory of homogeneous spaces
We prove the conjectures of Graham–Kumar [GrKu08] and Griffeth–Ram [GrRa04] concerning the alternation of signs in the structure constants for torus-equivariant -theory of generalized flag varieties . These results are immediate consequences of an equivariant homological Kleiman transversality principle for the Borel mixing spaces of homogeneous spaces, and their subvarieties, under a natural group action with finitely many orbits. The computation of the coefficients in the expansion of the equivariant...
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