111 citations · 388 across the 47 of their papers we have counts for
11 papers · 1 filter
Systems of parameters and holonomicity of A-hypergeometric systems
Christine Berkesch, Stephen Griffeth, Ezra Miller
The main result is an elementary proof of holonomicity for A-hypergeometric systems, with no requirements on the behavior of their singularities, originally due to Adolphson [Ado94…
Positivity and Kleiman transversality in equivariant K-theory of homogeneous spaces
Dave Anderson, Stephen Griffeth, Ezra Miller
We prove the conjectures of Graham-Kumar and Griffeth-Ram concerning the alternation of signs in the structure constants for torus-equivariant K-theory of generalized flag varietie…
Multiplier ideals of sums via cellular resolutions
Shin-Yao Jow, Ezra Miller
Fix nonzero ideal sheaves a_1,...,a_r on a normal Q-Gorenstein complex variety X. Fix any positive real number c, and consider the multiplier ideal J of the sum a_1+...+a_r with we…
Binomial D-modules
Alicia Dickenstein, Laura Felicia Matusevich, Ezra Miller
We study quotients of the Weyl algebra by left ideals whose generators consist of an arbitrary Z^d-graded binomial ideal I along with Euler operators defined by the grading and a p…
A Kleiman-Bertini Theorem for sheaf tensor products
Ezra Miller, David E Speyer
Fix a variety X with a transitive (left) action by an algebraic group G. Let E and F be coherent sheaves on X. We prove that, for elements g in a dense open subset of G, the sheaf…
Gröbner geometry of vertex decompositions and of flagged tableaux
Allen Knutson, Ezra Miller, Alexander Yong
We relate a classic algebro-geometric degeneration technique, dating at least to [Hodge 1941], to the notion of vertex decompositions of simplicial complexes. The good case is when…