107 citations · 407 across the 33 of their papers we have counts for
5 papers · 2 filters
Computing invariants via slicing groupoids: Gel'fand MacPherson, Gale and positive characteristic stable maps
Jarod Alper
We offer a groupoid-theoretic approach to computing invariants. We illustrate this approach by describing the Gel'fand-MacPherson correspondence and the Gale transform as well as g…
Invariant rings through categories
Jarod Alper, A. J. de Jong
We formulate a notion of "geometric reductivity" in an abstract categorical setting which we refer to as adequacy. The main theorem states that the adequacy condition implies that…
Recasting results in equivariant geometry: affine cosets, observable subgroups and existence of good quotients
Jarod Alper, Robert Easton
Using the language of stacks, we recast and generalize a selection of results in equivariant geometry.
Singularities with G_m-action and the log minimal model program for
Jarod Alper, Maksym Fedorchuk, David Ishii Smyth
We give a precise formulation of the modularity principle for the log canonical models of . Assuming the modularity principle holds, we develop and compare two methods f…
Adequate moduli spaces and geometrically reductive group schemes
Jarod Alper
We develop the theory of adequate moduli spaces in characteristic (and mixed characteristic) characterizing quotients by geometrically reductive group schemes.