27 citations · 60 across the 10 of their papers we have counts for
5 papers · 1 filter
Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal
Alex Fink, Jeffrey Giansiracusa, Noah Giansiracusa +1
A "tropical ideal" is an ideal in the idempotent semiring of tropical polynomials that is also, degree by degree, a tropical linear space. We introduce a construction based on tran…
Hochschild cohomology of differential operators in positive characteristic
Joshua Mundinger
For a field of positive characteristic and a smooth variety over , we compute the Hochschild cohomology of Grothendieck's differential operators on . The answer invol…
Quantization of restricted Lagrangian subvarieties in positive characteristic
Joshua Mundinger
Bezrukavnikov and Kaledin introduced quantizations of symplectic varieties X in positive characteristic which endow the Poisson bracket on X with the structure of a restricted Lie…
The image of a tropical linear space
Joshua Mundinger
Given a tropical linear space and a matrix , the image of under is typically not a tropical linear space. We…
A module-theoretic approach to matroids
Colin Crowley, Noah Giansiracusa, Joshua Mundinger
Speyer recognized that matroids encode the same data as a special class of tropical linear spaces and Shaw interpreted tropically certain basic matroid constructions; additionally,…