35 citations · 170 across the 22 of their papers we have counts for
4 papers · 1 filter
Alternate Compactifications of Moduli Spaces of Curves
Maksym Fedorchuk, David Ishii Smyth
We give an informal survey, emphasizing examples and open problems, of two interconnected research programs in moduli of curves: the systematic classification of modular compactifi…
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…
Moduli spaces of hyperelliptic curves with A and D singularities
Maksym Fedorchuk
We introduce moduli spaces of quasi-admissible hyperelliptic covers with at worst A and D singularities. The stability conditions for these moduli spaces depend on two parameters d…
Moduli spaces of weighted stable curves and log canonical models of
Maksym Fedorchuk
Using Kollár's semipositivity results, we produce a number of nef and ample tautological divisors on Hassett's spaces of weighted stable pointed curves. As an application, we prove…